Question

Use trigonometry to find the length of x. The triangle is not drawn to scale.

135
17cm
.
O
12
C
13.96
71.90
9.75

Answer 1

x ≈ 9.75

Explanation:

Using the sine ratio in the right triangle

sin35° =
`(opposite)/(hypotenuse)` =
`(x)/(17)` ( multiply both sides by 17 )

17 × sin35° = x , then

x ≈ 9.75 ( to 2 dec. places )