Question

Find x to the nearest tenth. Show all your work. Hint: You will need to use the sine, cosine, and tangent to find angle x.

Answer 1

• x = 56.9°

Explanation:

Solving #2 in steps below

1) Find BC

• sin 62° = BC/AC
• 0.88 = BC/30
• BC = 30*0.88
• BC = 26.4

2) Find BD

• cos 20° = BD/BC
• 0.93 = BD/26.4
• BD = 0.93*26.4
• BD = 24.55

3) Find x

• tan x = BD/DE
• tan x = 24.55/16
• tan x = 1.534375
• x = arctan 1.534375
• x = 56.9°