Question

Find the measure of the indicated angle to the nearest degree.

7
9
12
?
49⁰
O53⁰
41°
37⁰

Answer 1

41°

Explanation:

Since the adjacent side and the hypotenuse are given, let's take the cosine ratio of the missing angle.

cos θ = adjacent side / hypotenuse

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Given :

⇒ Adjacent side = 9

⇒ Hypotenuse = 12

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Solving :

⇒ cos θ = 9/12

⇒ cos θ = 0.75

⇒ θ = cos⁻¹ (0.75)

⇒ θ = 41.4096221....

⇒ θ = 41° (to the nearest degree)

Answer 2

`41^(\circ)`

Explanation:

`~~~~~~\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \cos \theta = (9)/(12)\\\\\\\implies \theta = \cos^(-1) \left( \frac 9{12} \right)\\\\\\\implies \theta \approx 41^(\circ)`