Question

A right triangle is shown.
Which angle measure is closest to the value of x ?

A 43.9°
B 44.3°
C 35.7°
D 46.2°

Answer 1

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

Answer 2

In the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Trigonometry

From the question, we are to determine the measure which is closest to the value of x

In the diagram,

Opposite = 8

and

Adjacent = 7.8

Using SOH CAH TOA

We can write that

$tan\ (x) = \frac{8}{7.8 }$

$tan\ (x) = 1.02564$

$x = tan^{-1} (1.02564)$

x = 45.7°

Hence, in the given right triangle the measure of angle x is 45.7°. The correct option is C 45.7°

Here is the Correct question:

A right triangle is shown.

Which angle measure is closest to the value of x ?

A 43.9°

B 44.3°

C 45.7°

D 46.2°

Learn more on Trigonometry here: https://brainly.com/question/20734777

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