Question

Find the value of each variable using sine and cosine.

Answer 1

p ≈ 11.3 , q ≈ 4.1

Explanation:

using the cosine ratio in the right triangle

cos20° =
`(adjacent)/(hypotenuse)` =
`(p)/(12)` ( multiply both sides by 12 )

12 × cos20° = p , then

p ≈ 11.3 ( to 1 decimal place )

using the sine ratio in the right triangle

sin20° =
`(opposite)/(hypotenuse)` =
`(q)/(12)` ( multiply both sides by 12 )

12 × sin20° = q , then

q ≈ 4.1 ( to 1 decimal place )