please i don't know how to work it out

Question

a tourist is standing on level ground and is holding his camera at a height of 5.3 feet. he suddenly notices a flying saucer on the ground 231 feet from where he is standing. the saucer takes off and flies straight upward at a constant speed

A)the tourist keeps his camera at an angle of 66 degrees angle of elevation. then he snaps a photo of the saucer. find the height of the saucer at this time the photo was taken.

the answer is 524.1345 but i have no clue how to work this out please help

Answer 1

Draw and label a diagram (don't forget the man!).

h represents the height of the saucer relative to the camera.

tan 66° = h / 231

2.246 = h / 231

518.834 = h

Now add the height of the camera.

524.134

Answer 2

Draw a picture......

with the camera pointing up at 66 degrees above the horizontal, we have a right triangle with the horizontal side being the distance to the saucer (231 feet, and the vertical side unknown---let's call it "V".

Since we know the "elevation angle", we can write:

tan(66) = V / 231

therefore V = 231*tan(66)

finally, to get the total elevation of the saucer, add the height of the camera from the ground:

height = 231*tan(66) + 5.3

524.134494772