An observer (O) spots a bird flying at a 35 angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 21,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number.

A right triangle B N O is shown with angle B marked 35 degrees, Side B N marked x and side B O marked 21000 feet.

a. 12,045 feet

b. 14,704 feet

c. 16,980 feet

d. 17,202 feet

I think the answer is a. Please check. Thanks

A similar question is:

If the distance from the boat to the lighthouse is 120 meters and the angle of elevation is 40, which of the following equations will find the height of the lighthouse?

a. cos 40degrees = 120/y

b. cos 40degrees = y/120

c. tan 40degrees = 120/y

d. tan 40 degrees = y/120

I think it is d. Please check Thanks