Question

A right-angled triangle is shown below.

Answer 1

x = 9

Explanation:

calculate cosθ in the triangle and equate to
`(2)/(3)` , that is

cosθ =
`(adjacent)/(hypotenuse)` =
`(6)/(x)` =
`(2)/(3)` ( cross- multiply )

2x = 6 × 3 = 18 ( divide both sides by 2 )

x = 9