Question

Question 30

Find the length of the long leg. Leave answer in simplest radical form.
Help plz

Answer 1

B

Explanation:

Since the triangle is right we can use the sine ratio to find TI along with

the exact value of sin60° =
`(√(3) )/(2)`

sin60° =
`(opposite)/(hypotenuse)` =
`(TI)/(TR)` =
`(TI)/(14)`

Multiply both sides by 14

TI = 14 × sin60° = 14 ×
`(√(3) )/(2)` = 7
`√(3)`

Answer 2

Use SOHCAHTOA. You must use sine or cosine since the hypotenuse is involved, but since you are given both angles, it does not matter which one of them you choose. We'll use sine:

sinx=O/H

sin60=O/14

√3/2=O/14

*Cross multiply*

(14√3)=2O

*Divide both sides by 2*

7√3=O

Hope this helps!!