Questions on Word Problems: Geometry answered by real tutors!

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Question 1204918: When Josephine stood south of the base of Mount Apo, in the Philippines, and looked up to the top, the angle of elevation was 21°. When Josephine drove 4.5 km closer, she found that the angle of elevation increased by 22°. What is the height of Mount Apo? (Note: the actual height of Mount Apo is 2954m)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1204918: When Josephine stood south of the base of Mount Apo, in the Philippines, and looked up to the top, the angle of elevation was 21°. When Josephine drove 4.5 km closer, she found that the angle of elevation increased by 22°. What is the height of Mount Apo? (Note: the actual height of Mount Apo is 2954m)
Click here to see answer by math_tutor2020(3816) About Me 

Question 1204914: In the diagram, find the measure of Angle ∠BFD.
https://ibb.co/H49D65Y

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Question 1204973: A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1204973: A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
Click here to see answer by math_tutor2020(3816) About Me 
Question 1204973: A rectangular parking lot must have a perimeter of 520 feet and an area of at least 12,000 square feet. Describe the possible lengths of the parking lot.
Click here to see answer by greenestamps(13200) About Me 

Question 1205058: The angles of elevation of the top Hof a vertical pole HO are observed to be e and a from points P and Q due east and due south of the post. If the distance PQ = d, show that the height of the post is:

Click here to see answer by ikleyn(52781) About Me 
Question 1205058: The angles of elevation of the top Hof a vertical pole HO are observed to be e and a from points P and Q due east and due south of the post. If the distance PQ = d, show that the height of the post is:

Click here to see answer by mananth(16946) About Me 
Question 1205058: The angles of elevation of the top Hof a vertical pole HO are observed to be e and a from points P and Q due east and due south of the post. If the distance PQ = d, show that the height of the post is:

Click here to see answer by math_tutor2020(3816) About Me 

Question 1205071: A funnel is placed on a glass as shown. If the glass is 12.5 cm tall
and 8.2 cm in diameter, how high is the vertex of the funnel above the bottom
of the glass?

Click here to see answer by ikleyn(52781) About Me 
Question 1205071: A funnel is placed on a glass as shown. If the glass is 12.5 cm tall
and 8.2 cm in diameter, how high is the vertex of the funnel above the bottom
of the glass?

Click here to see answer by math_tutor2020(3816) About Me 

Question 1205070: ABCD is a square of side 4 cm. Equilateral triangles are constructed on the sides of the square.
Find the length of EH and the area of triangle EDH.


Click here to see answer by math_tutor2020(3816) About Me 
Question 1205070: ABCD is a square of side 4 cm. Equilateral triangles are constructed on the sides of the square.
Find the length of EH and the area of triangle EDH.


Click here to see answer by Edwin McCravy(20055) About Me 

Question 1205151: A regular hexagon is inscribed in a circle. Find the ratio of the area of the hexagon to the area of the circle.
Click here to see answer by ikleyn(52781) About Me 

Question 1205285: Ed looks around at an assembly. He notices his younger sister to his right and his older brother 5 meters ahead of him. If Ed's brother and sister are 13 meters apart, how far apart are Ed and his younger sister?

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Question 1205434: a person 2 m tall casts a shadow 5 m long. at the same time, a building casts a shadow 24 m long. how tall is the building? round to the nearest tenth.
Click here to see answer by MathLover1(20849) About Me 

Question 1205430: While standing in line for the water fountain, Mateo sees his lab partner 36 feet ahead of him and his best friend 77 feet to his right. Mateo wants to go ask his lab partner a question, then go chat with his friend, and finally return to the water fountain line. How far will Mateo have to walk in all?
Click here to see answer by math_tutor2020(3816) About Me 

Question 1205440: For a project in her Geometry class, Madison uses a mirror on the ground to measure the height of her school’s football goalpost. She walks a distance of 14.65 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. She then walks 2.15 more meters past the mirror, so that when she turns around and looks down at the mirror, she can see the top of the goalpost clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.45 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
Click here to see answer by ikleyn(52781) About Me 

Question 1205619: Angle LNM = Angle KNM and LN is perpendicular to JK.
Find the measure of Angle JKN.

Click here to see answer by math_tutor2020(3816) About Me 

Question 1205618:
Point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. The shortest distance from point T to point Z is 4sqrt%283%29 cm. Find the area in square centimetres of triangle XYZ.

Click here to see answer by MathLover1(20849) About Me 
Question 1205618:
Point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. The shortest distance from point T to point Z is 4sqrt%283%29 cm. Find the area in square centimetres of triangle XYZ.

Click here to see answer by math_tutor2020(3816) About Me 
Question 1205618:
Point X is the intersection of the two diagonals TW and UV of the cubical box illustrated. The shortest distance from point T to point Z is 4sqrt%283%29 cm. Find the area in square centimetres of triangle XYZ.

Click here to see answer by ikleyn(52781) About Me 

Question 1205620: Here is a solution by MathLover1:
http://www.algebra.com/tutors/students/your-answer.mpl?question=1205618
I would never in a million years trust her solution, given her reputation on this forum. Can someone either verify, or provide the right solution?


Click here to see answer by MathLover1(20849) About Me 
Question 1205620: Here is a solution by MathLover1:
http://www.algebra.com/tutors/students/your-answer.mpl?question=1205618
I would never in a million years trust her solution, given her reputation on this forum. Can someone either verify, or provide the right solution?


Click here to see answer by ikleyn(52781) About Me 

Question 1205673: the distance between the centers of the two circles is 13 cm. If their radii are 5cm and 8cm, how long is their common external tangent segment?
Thank you!

Click here to see answer by ikleyn(52781) About Me 
Question 1205673: the distance between the centers of the two circles is 13 cm. If their radii are 5cm and 8cm, how long is their common external tangent segment?
Thank you!

Click here to see answer by greenestamps(13200) About Me 

Question 1205674: If a secant and a tangent intersect in the exterior of the circle to form an 18 degree angle and the lines intercept two arcs on the given circle such that one of them is four third of the other, find the measure of each of the intercepted arcs
Click here to see answer by ikleyn(52781) About Me 
Question 1205674: If a secant and a tangent intersect in the exterior of the circle to form an 18 degree angle and the lines intercept two arcs on the given circle such that one of them is four third of the other, find the measure of each of the intercepted arcs
Click here to see answer by greenestamps(13200) About Me 

Question 1205670: The angle formed by two secants intersecting on the exterior of the circle measure 95 degrees. One of the intercepted arcs is 220 degrees. Find the measure of the other arc.
Thank you! =)

Click here to see answer by ikleyn(52781) About Me 
Question 1205670: The angle formed by two secants intersecting on the exterior of the circle measure 95 degrees. One of the intercepted arcs is 220 degrees. Find the measure of the other arc.
Thank you! =)

Click here to see answer by greenestamps(13200) About Me 

Question 1205812: the height of the great pyramid is is 144 meters. the apothem measures 184.7 meters. assuming the base is a square, find the length of a side of the base.
Click here to see answer by ikleyn(52781) About Me 

Question 1205919: Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes will it take for the two containers to have the same amount of water?
Click here to see answer by MathLover1(20849) About Me 
Question 1205919: Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes will it take for the two containers to have the same amount of water?
Click here to see answer by greenestamps(13200) About Me 

Question 1206037: Hello! Here is my question. I'm really having a hard time solving it and tried answering it many times. I don't know if how am I going to get it.
Chord AB is 12√3 cm long and the radius is 6 cm. Find the area of the shaded region.
Thank you to the tutor who can answer it! Thank you so much! =)
Cecile from Philippines

Click here to see answer by math_tutor2020(3816) About Me 
Question 1206037: Hello! Here is my question. I'm really having a hard time solving it and tried answering it many times. I don't know if how am I going to get it.
Chord AB is 12√3 cm long and the radius is 6 cm. Find the area of the shaded region.
Thank you to the tutor who can answer it! Thank you so much! =)
Cecile from Philippines

Click here to see answer by greenestamps(13200) About Me 
Question 1206037: Hello! Here is my question. I'm really having a hard time solving it and tried answering it many times. I don't know if how am I going to get it.
Chord AB is 12√3 cm long and the radius is 6 cm. Find the area of the shaded region.
Thank you to the tutor who can answer it! Thank you so much! =)
Cecile from Philippines

Click here to see answer by Edwin McCravy(20055) About Me 
Question 1206037: Hello! Here is my question. I'm really having a hard time solving it and tried answering it many times. I don't know if how am I going to get it.
Chord AB is 12√3 cm long and the radius is 6 cm. Find the area of the shaded region.
Thank you to the tutor who can answer it! Thank you so much! =)
Cecile from Philippines

Click here to see answer by mccravyedwin(407) About Me 
Question 1206037: Hello! Here is my question. I'm really having a hard time solving it and tried answering it many times. I don't know if how am I going to get it.
Chord AB is 12√3 cm long and the radius is 6 cm. Find the area of the shaded region.
Thank you to the tutor who can answer it! Thank you so much! =)
Cecile from Philippines

Click here to see answer by ikleyn(52781) About Me 

Question 1206101: A rectangular lot is 65 yards long and 110
yards wide.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.


Click here to see answer by mananth(16946) About Me 
Question 1206101: A rectangular lot is 65 yards long and 110
yards wide.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.


Click here to see answer by greenestamps(13200) About Me 
Question 1206101: A rectangular lot is 65 yards long and 110
yards wide.
Give the length and width of another rectangular lot that has the same perimeter but a smaller area.


Click here to see answer by ikleyn(52781) About Me 

Question 1206177: You are 12.5 meters away from a 2-story residential building with an approximate height of 7 meters. At the same time, you are 21 meters away from the church, how high is the church? Provide an illustration and a Solution
Click here to see answer by Theo(13342) About Me 

Question 1206175: A map is drawn to the scale of 1cm: 120m. If the distance between towns X and Y measures 9.5 cm on the map, what is the approximate distance between these towns?? Provide illustration and Solution
Click here to see answer by math_tutor2020(3816) About Me 
Question 1206175: A map is drawn to the scale of 1cm: 120m. If the distance between towns X and Y measures 9.5 cm on the map, what is the approximate distance between these towns?? Provide illustration and Solution
Click here to see answer by mananth(16946) About Me 

Question 1206179: You are the sailmaker creating a pattern for your customer. Your customer wants a triangular sail with two colors such as yellow and white. Your customer wants the yellow part to have the sides as 3 meters, 6 meters, and 21 meters. If the longest side of the sail were 84 meters, how many meters of white cloth would you cut to complete the sail? Given: Upper side - 6 meters. Provide solution and Illustration
Click here to see answer by mananth(16946) About Me 

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