Questions on Word Problems: Geometry answered by real tutors!

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Question 22725: I can not solve this shadow problem. I failed a test and do not understand. Can you help?
Neighbor wants to cut a tree down. He is worried it will fall on his garage which is 42' from the tree.He decided to measure the height of the tree by its shadow. The tree's shadow measured 47 feet. He put a yardstick next to the tree and the yardstick cast a shadow of 4'.
Problem: How tall is the tree in feet?
Click here to see answer by longjonsilver(2297)

Question 22867: I do not understand how to solve the this question.
The hypotenuse of right triangle is 2" longer than one of the legs. The otherleg is 10" long. Find the hypotenuse length.
I know a^2+b^2=C^2
I think the equation should something like:
a^2+10=(a+2)^2
The equation does not work out for me. HELP!
Click here to see answer by stanbon(75887)

Question 23073: A tree (altitude =a) breaks somewhere in its height and falls over.
The tip of the tree touches ground at 20' from stump (base b= 20')
The created hypotonuse (c) is equal to 2 times a.
What was the height of the tree before the tree broke and fell?
given that: a^2 + b^2 = c^2
I end up with x^2 + 20^2 = 2x^2
Now where do I go to finish? (Next: x^2 - 2x^2 = 400)?
I can't remember how to solve this. My book has no literal explanation of the steps (I'm too dumb to derive the solution)
Click here to see answer by stanbon!(97)

Question 23123: A backyard garden is shaped like a rectangle with a length that is 30 ft
longer than the width and a perimeter of 200 ft. What is the width, the
length and the area of the garden?

You have this one listed but last multipication doesn't add up,, is this right?
Thanks
Click here to see answer by gr8stsing3raliv3(4)

Question 23110: 1.The length of a rectangular playing field is 5 ft less than twice its width.
If the perimeter of the playing field is 230 ft, find the length and width of the field.
2.A bicyclist rode into the country for 5 h. In returning, her
speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?
3. A bus leaves a station at 1 P.M., traveling west at an average
rate of 44 mi/h. One hour later a second bus leaves the same station, traveling
east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart?
4. Mika leaves Boston for Baltimore at 10:00 A.M., traveling at
45 mi/h. One hour later, Hiroko leaves Baltimore for Boston on the same route, traveling
at 50 mi/h. If the two cities are 425 mi apart, when will Mika and Hiroko meet?
Click here to see answer by Paul(988)

Question 21538: Find the foci for the given hyperbola.
9y2-x2-36y-2x+26=0
y2=ysquared
x2=xsquared
Click here to see answer by venugopalramana(3286)

Question 21537: Find the foci of the given ellipse.
25x2+9y2+150x-90y+225=0
x2=xsquared(25xsquared)
y2=ysquared(ysquared)
Click here to see answer by venugopalramana(3286)

Question 22204: find the area of a parallelogram whose base is 6 1/4 inches and whose altitude is 7 2/3 inches
Click here to see answer by stanbon(75887)

Question 21269: What number has the property that its reciprocal is one less than the number? hint: the number is not an interger.
Click here to see answer by venugopalramana(3286)

Question 21268: Find the sum of all prime numbers between 1 and 100 that are simultaneously 1 greater than a multiple of 4 and 1 less than a multiple of 5.
Click here to see answer by venugopalramana(3286)

Question 21265: Mr. Coleman our principal decided to redesign his rectangular rose bed into the shape of a right-angled triangle. The existing bed measured 24 by 35 feet. he discovered that he could make any one of three different right triangular beds, each equal in area to the existing bed and each having sides of an integral number of feet. As it was his custom to fence his beds, he naturally chose the bed with the smallest perimeter. What were the dimensions , in feet , of the new bed? What were the dimensions, in feet, of the other two alternatives?
Click here to see answer by venugopalramana(3286)

Question 23222: A 15-foot ladder is placed against the wall of a house such that the bottom of the ladder is at a distance of 10 feet from the wall.At what height does the ladder touch the house?
Click here to see answer by stanbon(75887)

Question 23246: The fuel for a certain two cycle engine is a mixture of 8 parts gasoline and 2 parts oil. How many gallons of gas are needed to make 20 gallons of fuel?
Click here to see answer by Paul(988)

Question 20895: How do i find the gradient of a line parallel to y=3x? hope you can help
Click here to see answer by venugopalramana(3286)

Question 23429: If a @ b=(a x b),what is the value of (5@4)@(4@3) in the simplest form?
Click here to see answer by stanbon(75887)

Question 21471: A piece of cloth measures 2 yards, 1 foot, and 4 inches in length. What is its length in feet?
Click here to see answer by rapaljer(4671)

Question 23420: Draw the diagram and set up the proof.
"The bisector of the vertex angle of an isosceles triangle is parallel to the base."

Click here to see answer by venugopalramana(3286)

Question 23422: Draw the diagram. Set up the proof end and then prove.
"The median to the base of an isosceles triangle divides the triangle into 2 congruent triangles."
Click here to see answer by venugopalramana(3286)

Question 23662: A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation of the sun.
Click here to see answer by Paul(988)

Question 23701: the measure of a pair of supplementary angles are represented by (3a + 10) and (2a - 40). Find the measure of the angle
Click here to see answer by rapaljer(4671)

Question 23734: the measure of the supplement of an angle is 60 more than twice the measure of the angle. Find the measure of the angle.
Click here to see answer by Paul(988)

Question 23733: find the measure of an angle for which the sum of the measures of its complement and supplement is 194 degrees.
Click here to see answer by rapaljer(4671)

Question 23751: the difference between the measures of two supplementary angles is 80. Find the measure of the larger of the two angles.
Click here to see answer by Paul(988)

Question 23845: A rectangular parcel of land is 50 ft wide. The length of a diagonla between opposite corners is 10 ft more than the lenght of the parcel. What is the lenght of the parcel?
Click here to see answer by ilana(307)

Question 23918: the length of a rectangle garden is 3ft less than 2 times it's width. If the perimeter of the garden is 54ft, find the dimension of a garden.
Click here to see answer by Paul(988)

Question 24037: each of the congruent angles of an isosceles triangle measures 9 less than 4 times the vertex angle. Find the measures of the angles of the triangle.
Click here to see answer by rapaljer(4671)

Question 24042: in triangle RST , measure of angle T is 90 and measure of angle R is 35. If line TH is drawn perpendicular to line RS, find measure of angle HTS.
Click here to see answer by rapaljer(4671)

Question 24044: the base of an isosceles triangle exceeds each of the eqaul sides by 3 feet. if the perimeter is 27 feet, find each side of the triangle.
Click here to see answer by longjonsilver(2297)

Question 24390: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width. What should the dimensions of the patio be?
I have tried over and over again to form some sort of equatin and can't come up with one. What am I doing wrong?
Click here to see answer by queenofit(120)

Question 24662: Is there any way someone can show me step by step how yo solve a problem? I just need the basic understanding of solving a problem.
Click here to see answer by wuwei96815(245)

Question 24733: the lenght of a rectangle exceeds its width by 2yd. if the perimneter of the recatangle is 88 ft find the dimensions

Click here to see answer by Paul(988)

Question 24733: the lenght of a rectangle exceeds its width by 2yd. if the perimneter of the recatangle is 88 ft find the dimensions

Click here to see answer by rapaljer(4671)

Question 24819: I REALLY NEED THE ANSWER IN DETAIL TO THIS PROBLEM..ITS DUE TOMORROW and its very important. THANK YOU
* A window in a bulinging is 18m above the ground. From this window, the angle of elevation to the top of the building across the street is 40� and the angle of depression to the bottom of the building acress the street is 42�. How tall is the building across the street? Include a labelled diagram with you solution.
Click here to see answer by Paul(988)

Question 24941: Miguel is 180 cm tall. At 2:00 P.M. one day, his shadow is 60 cm long, and the shadow of a nearby fence post is t cm long. In terms of t, what is the height in cm of the fence post?
Click here to see answer by rapaljer(4671)

Question 25063: Find three consecutive even numbers whose sum is negative seventy-two.

Click here to see answer by venugopalramana(3286)

Question 25084: The sum of two numbers is 55. The larger number is 7 more than twice the smaller number. what are the numbers?
Click here to see answer by wuwei96815(245)

Question 25083: Three consecutive integers have a sum of 240. Find the integers.
Click here to see answer by whty89(20)

Question 25083: Three consecutive integers have a sum of 240. Find the integers.
Click here to see answer by Paul(988)

Question 25119: The perimeter of a rhombus is 40cm, and one diagonal is 12cm long. How long is the other diagonal?
Click here to see answer by venugopalramana(3286)

Question 25160: One number is 10 more than the other number. Twice the smaller number is 13 more than the larger number. What are the numbers?
please help I need it by today thank you

Click here to see answer by rapaljer(4671)

Question 25148: One number is 10 more than the other number. Twice the smaller number is 13 more than the larger number. What are the numbers?
Click here to see answer by Paul(988)

Question 25315: How many square inches difference is there between the area of a 10 inch square and a surface containing 10 square inches?
Click here to see answer by longjonsilver(2297)

Question 25358: The length of a rectangle is 3m less than twice the width. the perimeter of the rectangle is 42m. find the length and the width of the rectangle
Click here to see answer by Paul(988)

Question 25367: two observers, 215 ft apart, are directly in line with a hot-air balloon. The angeles of elevation of the balloon are 43 degrees and 57 degrees. How high is the balloon?
Click here to see answer by Paul(988)

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