## anonymous one year ago From a boat on the lake, the angle of elevation to the top of a cliff is 15˚54'. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)?

1. anonymous

@Haseeb96

2. Haseeb96

|dw:1434489196036:dw|

3. Haseeb96

now what trigonometric function we will use here . If we look on the given data

4. anonymous

tan right?

5. Haseeb96

nope it would be cosine function cos theta = base / hypo:

6. anonymous

oh yeah.

7. Haseeb96

8. Haseeb96

Do it @clairvoyant1 by the help of calculator

9. Haseeb96

okay'

10. anonymous

@Michele_Laino

11. Michele_Laino

|dw:1434539125033:dw| then we can write: $h = 967 \times \tan \left( {15.9} \right) = ...$

12. Michele_Laino

since 15° 54' = 15.9 degrees

13. anonymous

@Nnesha