Posted by **Jay** on Thursday, January 13, 2011 at 11:45pm.

1.The angle of elevation to top of a building from a point on the ground 20degrees and the angle of elevation from a point to 25 feet farther away is 12degrees. Find the height of the building.

2.From a point on the ground, the angle of elevation to the top of a 60-ft radio antenna sitting atop a hill is 39degrees. The angle of elevation to the top from the same point on the ground is 36 degrees. How high is the hill to the nearest foot?

3.Two different height buildings are 10 feet apart. The angle of elevation from the top of the shorter building to the top of the taller building is 30 degrees. If the taller building is 500 feet tall, how tall is the shorter building?

- Pre-Calculus -
**helper**, Friday, January 14, 2011 at 1:42am
I think the tutors like you to post each problem as a separate post.

- Pre-Calculus -
**Jay**, Friday, January 14, 2011 at 1:47am
O thanks for the tip. New here. Well and friend helped me figure out 1 and 2 since they were basically the same question. I found out that I had trouble actually doing the algebra once I had the equations. But I'm still a little confused on how to set up number 3.

- Pre-Calculus -
**helper**, Friday, January 14, 2011 at 8:14pm
3. 30-60-90 special triangle

draw this out to see that you need to find side a (shorter side) of triangle ABC

30-60-90 triangle have sides in the ratio of 1 : sqrt 3 : 2 (a : b : c)

Since side b = 10

cos 30 = b/c = 10/c

since ratio of b/c = sqrt 3/2

sqrt 3/2 = 10/c

cross multiply

c * sqrt 3 = 20

c = 20/sqrt 3 = 11.5470

Need to find side a

sin 30 = a/c = a/11.5470

since ratio of a/c = 1/2

1/2 = a/11.5470

a = 5.7735

from picture that you drew you will see

that

500 - side a = height of shorter blding

500 - 5.7735 = 494.2265'

- Pre-Calculus -
**Confused in Math**, Wednesday, March 20, 2013 at 11:07am
The angle of elevation from a point on the ground to the top of a post is 15°. The point is 100 meters from the base of the post. To the nearest meter, how tall is the post?

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