Question

1. What is the length of RT?
Q
T
S
60°
60°
32

Answer 1

RT = 16
`√(3)`

Explanation:

using the sine ratio in right triangle QRT and the exact value

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(RT)/(QR)` =
`(RT)/(32)` =
`(√(3) )/(2)` ( cross- multiply )

2 RT = 32
`√(3)` ( divide both sides by 2 )

RT = 16
`√(3)`