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Triangle P Q R is shown. Angle Q P R is a right angle. The length of hypotenuse Q R is 14.1 and the length of P R is 12.7.
What is the measure of ∠R in △PQR? Round to the nearest degree.

26°
42°
45°
64°

Triangle P Q R is shown Angle Q P R is a right angle The length of hypotenuse Q R is 141 and the length of P R is 127 What is the measure of R in PQR Round to t class=

Respuesta :

Answer:

∠ R ≈ 26°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos R = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{PR}{QR}[/tex] = [tex]\frac{12.7}{14.1}[/tex] , thus

R = [tex]cos^{-1}[/tex]([tex]\frac{12.7}{14.1}[/tex] ) ≈ 26° ( to the nearest degree )

The measure of ∠R in ΔPQR is 26°

What is right angle triangle?

Right angle triangle in which one of its angle is 90° and another two angle are less than 90°.

There are 3 sides named as perpendicular and base which makes angle 90° and another side is hypotenuse.

Using the cosine ratio in the right triangle

cos R = [tex]\frac{adjacent}{hypotenuse}[/tex] =  [tex]\frac{PR}{QR}[/tex]=[tex]\frac{12.7}{14.1}[/tex]  , thus

R =([tex]cos^-1\frac{12.7}{14.1}[/tex] ) ≈ 26° ( to the nearest degree )

Hence, The measure of ∠R in ΔPQR is 26°

Learn more about right angle triangle:

https://brainly.com/question/3770177

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