Question

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

Answer 1

Answer:

x = 83.7 units

Step-by-step 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

Answer 2

Answer:

83.7

Step-by-step 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.

$cosQ = \frac{RQ}{SQ}\\ cos(48) = \frac{56}{x}\\ x = \frac{56}{cos(48)}\\ x = 83.7$