Question

PLEASE HELP!

What is the measure of angle C?





Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answer 1

Answer:

$R = 10.39^\circ$

Step-by-step explanation:

Since you have the lengths of all the sides, you can use sine, cosine, or tangent to find the answer. Let's use the tangent ratio.

For angle C, AB is the opposite leg, and BC is the adjacent leg.

$\tan C = \dfrac{opp}{adj}$

$\tan C = \dfrac{22}{120}$

$C = \tan^{-1} \dfrac{22}{120}$

$C = 10.39^\circ$

Answer 2

Applying the tangent ratio (tan ∅ = opposite length/adjacent length), the measure of angle C, to the nearest hundreth, is: 10.39°

What is the Tangent Ratio?

In a given right triangle, the tangent ratio is given as, tan ∅ = opposite length/adjacent length.

Given the following:

• ∅ = ∠C
• Opposite = 22
• Adjacent = 120

Applying the tangent ratio:

tan C = 22/120

m∠C = tan^(-1)(22/120)

m∠C = 10.39° (nearest hundreth)

Learn more about tangent ratio on:

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