# Trigonometry

posted by .

From the top of a building 85ft high, the angle of elevation of the top of a vertical pole is 11 degree 6'. At the bottom of the building the angle of elevation of the top of the pole is 26 degree 7'. Find the height of the pole and the distance of the pole from the following.

• Trigonometry -

Draw a diagram. If the distance is x, then

(h-85)/x = tan11°6'
h/x = tan26°7'

So, (h-85)cot 11°6' = h*cot 26°7'
Use that to find h, and then you can get x.

## Similar Questions

1. ### 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 …
2. ### math

a flagpole is 25 feet tall. a truck runs into the pole and bends it at the very bottom of the pole but the rest of the pole remains straight. after the accident we measure the angle of elevation to the top of the pole from a point …
3. ### Trig

A 60-foot flagpole stands on top of a building. From a point on the ground the angle of elevation to the top of the pole is 45 degrees and the angle of elevation to the bottom of the pole is 42 degrees. How high is the building?
4. ### trigonometry

From the roof of the building 25 meters high, the angle of elevation of the top of the pole is 21°11’ , from the bottom of the building, the angle of elevation is 43°2’, determine the height of the pole .
5. ### trigonometry

From the roof of the building 25 meters high, the angle of elevation of the top of the pole is 21°11’ , from the bottom of the building, the angle of elevation is 43°2’, determine the height of the pole .
6. ### trigonometry

Solution of problem:from the top of a building 55 ft high, the angle of elevation of the top of a vertical pole is 12 degrees, At the bottom of the building, the angle of elevation of the top of the pole is 24 degrees. find the height …
7. ### math

a plat form and a building are on the same horizontal plane , the angle of depression of the bottom of the building from the top A of the platform is 39 degree. the angle of elevation of the top D of the building from the top of the …
8. ### Math

A flag pole and a building stand on the same horizontal level from a point P at the bottom of the building the angle of elevation of the top T of the flag pole is 68 degree.From the top Q of the building the angle of elevation of the …
9. ### maths

from a point P on a level ground and directly west of a pole,the angle of elevation from the top of the pole is 045 and from point Q east of the pole the angle of elevation of the pole the angle of elevation of the top of the pole …
10. ### Angles of elevation and depression

The teet of two vertical poles of height 3m and 7m are in line with a point P on the ground. The smaller pole being between the taller pole and P and at distance of 20m from P the angle of elevation of the top T of the taller pole …

More Similar Questions