SOLUTION: A building is 41 M high. Given that the angle of depression of a fire hydrant from the top of the building is 33°, find the distance between the fire hydrant and the foot of the b

Click here to see ALL problems on Trigonometry-basics

Question 1132625: A building is 41 M high. Given that the angle of depression of a fire hydrant from the top of the building is 33°, find the distance between the fire hydrant and the foot of the building.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39625)   (Show Source):
You can put this solution on YOUR website!

~~26.6 M from the bottom of building.~~

----

Angle of depression from top of building to the hydrant on ground is same as angle of elevation from hydrant on ground to top of building, 33 degrees.

x, horizontal leg, distance from bottom of building

Answer by ikleyn(52851)   (Show Source):
You can put this solution on YOUR website!
.

            The solution and the answer by @josgarithmetic both are   W R O N G.

            For your safety, simply ignore it.

            Below is my solution, which is correct.

In this problem, tan(33°) = , where H is the height of the building and L is the distance from the building. Hence, L = = = 63.175 meters. ANSWER

The lesson to learn from my post is   T H I S:

To solve this problem in a right way, you need to know what the angle of depression is. Learn it from this link https://www.varsitytutors.com/hotmath/hotmath_help/topics/angles-of-elevation-and-depression https://www.varsitytutors.com/hotmath/hotmath_help/topics/angles-of-elevation-and-depression

                    H a p p y   l e a r n i n g ! !