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Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

Find The Measure Of Angle X Round Your Answer To The Nearest Hundredth Please Type The Numerical Answer Only class=

Sagot :

Answer:

x = 28.07°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{15}[/tex] , then

x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{15}[/tex] ) ≈ 28.07° ( to the nearest hundredth )

The value of x rounded to the nearest hundredth is 38.66 degrees

Application of trigonometry identity

These trig identity are written in terms of sine, cosine and tangent.

Given the following parameters

Opposite = 8

Adjacent = 10

Required

angle "x"

Substitute

Tan x = 8/10

x = arctan 0.8

x = 38.66 degrees

Hence the value of x rounded to the nearest hundredth is 38.66 degrees

Learn more on trig ratios here: https://brainly.com/question/1201366

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