Question

Find k. Write your answer in simplest radical form.

Answer 1

k = 5
`√(3)`

Explanation:

using the cosine ratio in the right triangle and the exact value

cos30° =
`(√(3) )/(2)` , then

cos30° =
`(adjacent)/(hypotenuse)` =
`(k)/(10)` =
`(√(3) )/(2)` ( cross- multiply )

2k = 10
`√(3)` ( divide both sides by 2 )

k = 5
`√(3)`