trigonometry

posted by .

A 100-foot vertical antenna is on the roof of a building. From a point on the ground, the angle of elevation to the top and the bottom of the antenna are 51 degrees and 37 degrees, respectively. Find the height of the building to the nearest foot.
How would you solve for these?

• trigonometry -

if the point is x feet from the building, then if the building's height is h,

h/x = tan37°
(h+100)/x = tan51°

equating the values for x,

h/tan37° = (h+100)/tan51°
h = 156.55

Similar Questions

1. Precalculus

I have three questions on my homework in which I am stuck on. Thanks for the help! #1 find all solutions of the equation in the interval [0,2pie). In cases where a calculator is necessary, round the answers to two decimal places. sin(sinx)=pie/6 …
2. Pre-Calculus

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 …
3. trigonometry

A television antenna is on the roof of a building, the angle of elevation of the top and the button of the antenna are 51 degrees and 42 degrees respectively.How tall is the antenna?
4. Math- Pre calc

A 60 foot antenna stands on top of a building. From a point on the ground, the angle of elevation to the top of the antenna measures 48 degrees and 39 degrees to the top of the building. How tall is the building?
5. Pre- Calculus

An antenna is located at the top of a building 1000 ft tall. From a point on the same horizontal plane as the base of the building, the angles of elevation from the top and the bottom of the antenna are 65.8 degrees and 62.6 degrees …
6. physics

a television antenna is on the roof of the building. from a pt. on the ground 36.0 feet from the building , the angle of elevation of the top and the bottom of the antenna are 51 degree celsiusand 42 degree celsuis respectively. how …
7. Physics

a television antenna is on the roof of the building. from a pt. on the ground 36.0 feet from the building , the angle of elevation of the top and the bottom of the antenna are 51 degree celsiusand 42 degree celsuis respectively. how …
8. Physics

a television antenna is on the roof of the building. from a pt. on the ground 36.0 feet from the building , the angle of elevation of the top and the bottom of the antenna are 51 degree Celsius and 42 degree Celsius respectively. how …
9. Trig

From a point 120 feet from the base of a plant building the angle of elevation to the roof line of the building is 38 degrees. The angle of elevation to the top of an antenna is 43 degrees. The antenna is attached to the nearest edge …
10. trigo

A television antenna is on the roof of a building. From a point on the ground 36.0 ft from the building the angle of elevation of the top and bottom of the antenna are 51° 23' & 42°10', respectively. How tall is the antenna?

More Similar Questions