Question

What is the value of x?



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x =

Answer 1

x = 4

Explanation:

In order to find x, we will either have to find the length QT or RT.

In triangle RST, the length RS is given so we can either length RT or ST. However, if we find the length RT, we can find the value of x.

sin Θ =
`(opp)/(hyp)`

sin 60° =
`(2√(3) )/(RT)`

RT =
`(2√(3))/(sin 60)` = 4

tan Θ =
`(opp)/(adj)`

tan 45° =
`(x)/(4)`

x = tan 45° × 4 = 4