alexisalbert1095 alexisalbert1095
  • 21-05-2020
  • Mathematics
contestada

Find the angle represented by x (rounded to the nearest tenth of a degree). A) 32.6° B) 36.4° C) 37.8° D) 38.7°

Respuesta :

jajumonac jajumonac
  • 23-05-2020

Answer:

The angle is 49.63°, approximately.

Step-by-step explanation:

In the image attached, you can observe that the angle we need to find is an acute angle of a right triangle, where its hypothenuse is 21 units long and its opposite leg is 16 units long.

Having these elements, we can use the sine trigonometric reason to find the angle.

[tex]sin(x)=\frac{opposite \ leg}{hypothenuse} =\frac{16}{21}\\ x=sin^{-1}(\frac{16}{21} ) \approx 49.63\°[/tex]

Therefore, the angle is 49.63°, approximately.

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