211k views
4 votes
From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far is the rock from the building? ​

User Onera
by
4.7k points

2 Answers

5 votes

Answer:

I think that the other answer is WRONG

tan(12) =
(x)/(40)

x = tan(12)*40 = 8.5

Explanation:


(sin\left(78\right))/(40)=(sin\left(12\right))/(x) = 8.5

User Jamiyla
by
4.5k points
5 votes

Answer:

188 m

Explanation:


\tan(12) = (40)/(x) \\ x = (40)/( \tan(12) ) \\ x = 188

User Andrey Nikishaev
by
3.8k points