Posted by **Greg** on Monday, February 14, 2011 at 5:50pm.

At 2 points 95 ft apart on a horizontal line perpendicular to the front of a building, the angles of elevation of the top of the building are 25 degrees and 16 degrees. How tall is the building?

- trig -
**MathMate**, Monday, February 14, 2011 at 7:11pm
Let the two points be A, and B 95 feet apart, with B closer to the building.

Let the line join the building's base at P, and the top of the building be Q.

Let the horizontal distance BP=x, and

the vertical distance

= height of building

= h

So

BPQ is a right-triangle, with QBP=25°, and ∠BPQ 90°.

So the

h = xtan(25°) .... (1)

But AP=AB+BP=95'+x

so

(95'+x)tan(16°) = h ...(2)

Solve for x and h to get:

x=151.7'

h=70.7'

Check my work.

## Answer This Question

## Related Questions

- College Trigonometry - From a point 200 yards from the foot of a building, the ...
- Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...
- Pre- Calculus - An antenna is located at the top of a building 1000 ft tall. ...
- Algebra 2 - Can someone please explain how to do this problem? A 450 foot tall ...
- geometry - chung ho is standing on the top of a building that is 135m tall. The ...
- Trig - From a point A on the ground, the angle of elevation to the top of a tall...
- Maths - Standing on top of a slope of 5 degrees, i see the top of a building and...
- Trigonometry - The angles of elevation of an office building as observed from ...
- mathd - From point A,the angle of elevation to the top of a tall building is 20 ...
- Math- Pre calc - A 60 foot antenna stands on top of a building. From a point on ...

More Related Questions