Question

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answer 1

11.7

Explanation:

Let H be the heipotenys of the big triangle:

• sin68° = 26/H
• H= 26/sin68°

H= 28.04

Let's calculate the third side using the pythagorian theorem:

H²= 26²+ d²(the third side)

d² = 28.04²-26²= 110.24

d= 10.49

let's calculate x now

• tan42°= 10.49/x
• x= 10.49/tan42°

x= 11.65 ≈ 11.7