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Tutors Answer Your Questions about Trigonometry-basics (FREE)
Question 207644This question is from textbook
: One student in a surveying class measures an angle as 74.25 degrees, while another student measures the same angle as 74 degrees and 20 min. Find the difference between these measurements, both to the nearest minute and to the nearest hundredth of a degree.This question is from textbook
Click here to see answer by rfer(2696)   |
Question 208071: A gutter cleaner wants to reach a gutter 40 ft. above the ground. Find the length of the shortest ladder that can be used if the steepest angle at which it can be leaned against the house has a measure of 75 degrees.
Click here to see answer by Alan3354(6153)  |
Question 209141: I am having problems with this question I am not sure how to start or finish it. A hot air balloon is between two spotters who are 1.6 mile apart. One spotter reports that the angle of elevation is 64 degrees and the other reports that is it 74 degrees. What is the altitude of the balloon? Any help would be greatly appreciated!
Click here to see answer by stanbon(26367) |
Question 210322: I need to prove the following identity. Basically, I need to choose one side of the problem and indicate it clearly, then work towards the solution so that both sides are eventually equal.
The idea is to use relevant trig identities (Half Angle, Double Angle, Addition/Subtraction, Product-to-Sum, Sum-to-Product, etc.), but I don't know what to do!
cos 3*theta = (4 cos^3 theta) - (3 cos theta)
If you could help me towards the complete solution of this problem so I understand it, I'd appreciate it! Thanks!
Click here to see answer by tutor_paul(424)  |
Question 210922This question is from textbook Analytic Trigonometry
: Question #33 asked: From the sunroof of Janet's apartment building, the angle of depression to the base of an office building is 51.4 degrees and the angle of elevation to the top of the office building is 43.2 degrees. If the office building is 847 ft high, how far apart are the two buildings and how high is the apartment building?
My answer:
d=386 ft - the buildings are about 386 feet apart.
h=484 ft - the apartment building is about 484 feet tall.
***FIGURE FOR #33 LOOKS MORE LIKE THIS:***
______________/|===========|
____________/__|===========|
__________/____|===========|
________/)43.2__|===========|
=======|---------|===========|847 ft
=======|\)51.4__|===========|
=======|_\_____|===========|
=======|__\____|===========|
=======|___\___|===========|
=======|____\__|===========|
=======|_____\_|===========|
***TWO BUILDINGS NEXT TO EACHOTHER WITH A TRIANGLE BETWEEN THEM***
-------------My question is:-------------
34. Surveying:
(A) Using the figure, show that 
_____/|\
____/_|__\
___/__|____\
__/___|h_____\
_/____|________\
/_a)__|]_______(b_\
|--------- d ---------|
I started with and then multiplied  to both sides and got  , I somehow got lost after that.
Then there is the second part:
(B) Use the results in part (A) to find the distance between the two buildings in Problem 33.
This question is from textbook Analytic Trigonometry
Click here to see answer by Theo(691)  |
Question 210922This question is from textbook Analytic Trigonometry
: Question #33 asked: From the sunroof of Janet's apartment building, the angle of depression to the base of an office building is 51.4 degrees and the angle of elevation to the top of the office building is 43.2 degrees. If the office building is 847 ft high, how far apart are the two buildings and how high is the apartment building?
My answer:
d=386 ft - the buildings are about 386 feet apart.
h=484 ft - the apartment building is about 484 feet tall.
***FIGURE FOR #33 LOOKS MORE LIKE THIS:***
______________/|===========|
____________/__|===========|
__________/____|===========|
________/)43.2__|===========|
=======|---------|===========|847 ft
=======|\)51.4__|===========|
=======|_\_____|===========|
=======|__\____|===========|
=======|___\___|===========|
=======|____\__|===========|
=======|_____\_|===========|
***TWO BUILDINGS NEXT TO EACHOTHER WITH A TRIANGLE BETWEEN THEM***
-------------My question is:-------------
34. Surveying:
(A) Using the figure, show that
_____/|\
____/_|__\
___/__|____\
__/___|h_____\
_/____|________\
/_a)__|]_______(b_\
|--------- d ---------|
I started with and then multiplied to both sides and got , I somehow got lost after that.
Then there is the second part:
(B) Use the results in part (A) to find the distance between the two buildings in Problem 33.
This question is from textbook Analytic Trigonometry
Click here to see answer by jdmccarty(1) |
Question 211660This question is from textbook Trigonometry
: This is a word problem and I'm using Sin,Cos, and Tan so I'm pretty sure it has something to do with that.
From a 60foot observation tower on the coast, a Coast Guard officer sights a boat in difficulty. The angle of depression of the boat is 3degrees. How far is the boat from the shoreline??
This question is from textbook Trigonometry
Click here to see answer by Edwin McCravy(2938) |
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