Question

Select the correct answer.
What is the value of x in the triangle?

Answer 1

D

Explanation:

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

tan30° =
`(1)/(√(3) )` =
`(√(3) )/(3)` , then

tan30° =
`(opposite)/(adjacent)` =
`(x)/(15)` =
`(√(3) )/(3)` ( cross- multiply )

3x = 15
`√(3)` ( divide both sides by 3 )

x = 5
`√(3)` → D

Answer 2

D. 5√3

Explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3