Posted by **kavita** on Sunday, June 19, 2011 at 4:05am.

In the given diagram,AB represents a vertical pole and CD represents a 40 m high tower both of which are standing on the same horizontal plane.From the top of the tower,the angles of depression of the top and the foot of the pole are 24 degrees,30 inches and 48 degrees,30 inches respectively.calculate

(i) the horizontal distance between the pole and the tower

(ii) the height of the pole

- math -
**Reiny**, Sunday, June 19, 2011 at 9:03am
Tough to figure out from the "non-given" diagram.

let DB, the horizontal distance be x.

angle ADB = 48 degrees, 30 minutes (not inches!)

= 48.5°

so tan 48.5 = 40/x

x = 40/tan48.5 = 35.39 m

from C, draw a horizontal to meet AB at E

tan 24.5 = AE/x

AE = xtan24.5 = 16.13 m

so height of pole = BE = 40-16.128 = 23.87 m

## Answer this Question

## Related Questions

- plane and trigonometry - a 30 foot flagstaff is fixed in the center of a ...
- Trigonometry - A 30foot flagstaff is fixed in the center of a circular tower 40 ...
- trig - On an inclined road, which makes an angle of 25 degrees with the ...
- Math - From an observation tower that overlooks a runway, the angles of ...
- Trig - From an observation tower that overlooks a runway, the angles of ...
- Math - From an observation tower that overlooks a runway, the angles of ...
- math - From an observation tower that overlooks a runway, the angles of ...
- math trig - A TOWER AND A MONUMENT STAND ON A LEVEL PLANE.THE ANGLES OF ...
- MATH TRIGO-PLSSS ANSWER CLEARLY COZ IM VERY LOW IN - A TOWER AND A MONUMENT ...
- Math/Trig - From an observation tower that overlooks a runway, the angles of ...

More Related Questions