# trig is killing me...

the angles of elevation of a tower at two places due west of it are 63 degrees and 56 degrees. given that the foot of the tower and the two points are on ground level and the distance between the two points is 20 meters, find the height of the tower.

You have to draw a picture to see what's going on. Once you draw the picture, you see there are 2 right triangles.

tan 56 = x/(20 + y) where y is the distance between the foot of the tower and the first point, and x is height of tower.

and tan 63 = x/y.

Now you have 2 equations and 2 unkowns, so you can solve it.
Repost if you need more help.

thanks!

you're welcome

1. 👍 0
2. 👎 0
3. 👁 131

## Similar Questions

1. ### trig

a tower standing on level ground is due north of piont N and due west of point W, a distance 1,500 feet from N. If the angles of elevation of the top of the tower as measured from N and W are 8 and 11, respectively, find the

asked by courtney on October 9, 2011
2. ### trigonometry

Mickey determines that the angle of elevation from his position to the top of the tower is 52°. He measures the angle of elevation again from a point 47 meters farther from the tower and finds to be 31°. Both positions are due

asked by maniru on January 11, 2015
3. ### MAth Igcse

The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the

asked by Choi on January 15, 2015
4. ### MAth Igcse

The angle of elevation of the top of a tower is 27 degrees from point A due east of it. The angle of elevation of the top of the tower is 11 degrees from another point B due south of the tower. Find the height of the tower if the

asked by Choi on January 15, 2015
5. ### trigonometry

the angle of elevation of the top of the tower from the foot of a flagpole is twice the angle of elevation of the top of the flagpole from the foot of the tower. at the point midway between the tower and the flagpole, the angles

asked by jack on June 17, 2017
6. ### Maths

From a point A, due south of a tower , the angle of elevation of the top is 45degree, another point B is due east of the tower and the bearing of B from A is 30degree. Find the angle of elevation of the top of the tower

asked by Akinsola on July 21, 2019
7. ### Maths

From a point A, due south of a tower , the angle of elevation of the top is 45degree, another point B is due east of the tower and the bearing of B from A is 30degree. Find the angle of elevation of the top of the tower B

asked by Akinsola on July 21, 2019
8. ### Math

1. A rangers tower is located 44m from a tall tree. From the top of the tower, the angle of elevation to the top of the tree is 28 degrees and the angle of depression to the base is 36 degrees. How tall is the tree? 2. An engineer

asked by Tsunayoshi on February 6, 2014
9. ### trigonometry

the angle of elevation of a tower at place A south of it is 30degrees and at B west of A and a distance of 50 from it the angle of elevation is 18degrees, determined the height of the tower

asked by jack on June 5, 2017
10. ### math

the angles of elevation of the top of a house from the bottom of a tower 160m high is 26° from the top of a tower the angle of elevation is 24°. what is the height of the house if the tower and the house are 50m apart?

asked by Anonymous on November 24, 2015

More Similar Questions