66.8k views
3 votes
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?​

1 Answer

12 votes

Answer:

11.1 feet

Explanation:

person = B cat = C

C

/ |

/ | x

B /_48]________ ______|

|____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve. (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.

User Nkalvi
by
4.3k points