Monday

September 1, 2014

September 1, 2014

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

- trig -
**MathMate**, Monday, February 14, 2011 at 7:11pmLet 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 ...

trig - Question Part Points Submissions Used The angle of elevation to the top ...

math - The feet of two building of height 30miter amd 70meter are on the same ...

trig - angles of elevation to an airplane are measured from the top and the base...

Trig - A 60 ft. antenna stands on top of a building, From a point on the ground...

Pre-Calculus - 1.The angle of elevation to top of a building from a point on the...

math - Matthew parks his car between Karen’s and Patrick’s apartment buildings. ...

Trigonometry - a flagpole 25 feet tall stands on a top of a building. from a ...

Trigonometry - a flagpole 25 feet tall stands on a top of a building. from a ...

trig - The angle of elevation to the top of a very tall Building is found to be ...