SOLUTION: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the

Algebra ->  Trigonometry-basics -> SOLUTION: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the      Log On


   

Question 1190507: The angle of depression of a boat which is directly out to sea as observed from the top of a vertical cliff 50m high is 32degree. Find the distance of the boat from the foot of the cliff
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

The angle of depression is where you start looking directly horizontal, then look down the number of degrees mentioned.
Refer to the drawing below

Notice how 58+32 = 90

tan(angle) = opposite/adjacent
tan(58) = x/50
x = 50*tan(58)
x = 80.0167264520526

The distance is roughly 80 meters.
Round however else you need if your teacher instructs.