Question

Solve for x. Round to the nearest tenth,if necessary

Answer 1

83.7

Explanation:

We can solve this using SOHCAHTOA:

RQ is adjacent to angle Q and x is the hypotenuse, so we must use the cosine function.

`cosQ = (RQ)/(SQ)\\ cos(48) = (56)/(x)\\ x = (56)/(cos(48))\\ x = 83.7`

Answer 2

x = 83.7 units

Explanation:

• given adjacent: 56, given angle: 48°, asked to find hypotenuse, x?

Using cosine rule:

→ adjacent/hypotenuse = cos(∅)

→ 56/hypotenuse = cos(48)

→ hypotenuse = 56/cos(48)

→ hypotenuse = 83.7 units