Question

Please Help Find the indicated side of the right triangle

Answer 1

x = 3
`√(3)`

Explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° =
`(1)/(√(3) )` , then

tan30° =
`(opposite)/(adjacent)` =
`(3)/(x)` =
`(1)/(√(3) )` ( cross- multiply )

x = 3
`√(3)`

Answer 2

3 sqrt(3)

Explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 60 = x/3

3 tan 60 = x

3 sqrt(3) = x