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Find the measure of the indicated angle to the nearest degree.
7
9
12
?
49⁰
O53⁰
41°
37⁰

Find The Measure Of The Indicated Angle To The Nearest Degree 7 9 12 49 O53 41 37 class=

Sagot :

loneguy

Answer:

[tex]41^{\circ}[/tex]

Step-by-step explanation:

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

Answer:

41°

Step-by-step 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

===========================================================

Given :

⇒ Adjacent side = 9

⇒ Hypotenuse = 12

===========================================================

Solving :

⇒ cos θ = 9/12

⇒ cos θ = 0.75

⇒ θ = cos⁻¹ (0.75)

⇒ θ = 41.4096221....

⇒ θ = 41° (to the nearest degree)

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