157k views
1 vote
A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?

1 Answer

4 votes

The closest distance up the tree where the wire reaches is 17.93 foot.

Step-by-step explanation:

Given-

Length of the wire, L = 12 foot

angle, Ф= 48°

Distance upto which the wire reaches the tree, x = ?

We know,

cos Ф = base/ hypotenuse

cos 48° = 12/ x

0.669 = 12/x

x = 17.93 foot

Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.

User Lvmeijer
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.