Question

Right Angle Trig Including Problem Solving Question 4.1.

What's the X1 value and X2?

Answer 1

x₁ ≈ 10.2 , x₂ ≈ 11.4

Explanation:

using the cosine ratio in the lower right triangle

cos28° =
`(adjacent)/(hypotenuse)` =
`(9)/(x_(1) )` ( multiply both sides by x₁ )

x₁ × cos28° = 9 ( divide both sides by cos28° )

x₁ =
`(9)/(cos28)` ≈ 10.2 ( to the nearest tenth )

using the sine ratio in the upper right triangle

sin63° =
`(opposite)/(hypotenuse)` =
`(x_(1) )/(x_(2) )` =
`(10.2)/(x_(2) )` ( multiply both sides by x₂ )

x₂ × sin63° = 10.2 ( divide both sides by sin63° )

x₂ =
`(10.2)/(sin63)` ≈ 11.4 ( to the nearest tenth )