Calculate the height of a cliff PQ if the angle of depression from the top of the cliff to a boat R at sea in the same horizontal plane as Q is 42 degrees the boat is 700 meters away from the foot of the cliff

2 answers

Sitintile senior secondary school is not the subject. A tutor who is in a hurry or bored might just ignore a posting that appears bogus, or maybe posted by someone who cannot follow simple instructions.

Did you draw a diagram? Review your basic trig functions, and you will see that the height h is found using

h/700 = tan 42°
So here is what you know.

You have a right triangle- the adjacent side of the boat to the bottom of the cliff, the right angle going up the cliff, and the hypotenuse of the top of the cliff to the boat.

You know that the angle opposite the right angle is 42 degrees.

You know that the adjacent side is 700 meters.

With that, we can find the height using the tangent. The equation looks something like this:

a/700= Tan 42deg

Calculate the tangent (using a calculator), multiply both sides by 700, and that will give you the height of PQ.