Question

What is the measure of angle r in triangle QRS shown below, given r=10 q=20 and Q=100 round answer to the nearest tenth

HELP PLEASE

Answer 1

29.5

Explanation:

original had 29.3 which is not an option. 29.5 is right.

Answer 2

• 29.3°

Explanation:

Given triangle QRS with:

• ∠Q = 100° is opposite to q = 20
• ∠R = ? is opposite to r = 10

Use the law of sines to solve:

• sin 100 deg / 20 = sin x / 10
• 0.98 / 2 = sin ∠R (rounded)
• sin x∠R = 0.49
• ∠R = arcsin 0.49
• ∠R = 29.3° (rounded)