Question

Find the missing side. Round
to the nearest tenth.
17
y
44°
Х
y=[?]

Answer 1

Answer:

The answer is 11.8

Step-by-step explanation:

Answer 2

The value of x and y is 12.2 and 11.8 respectively.

What is tangent of an angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question.

We have a right angled triangle.

In which one angle is 44 degrees and hypotenuse is 17 units.

Here,

With respect to angle 44 degrees the adjacent side is x and the opposite side is y.

Therefore,

Sine of 44 degrees is given by

$sin44^{o} = \frac{opposite\ side }{Hypotenuse}$

$\implies sin44^{o} = \frac{y }{17}$

$\implies 0.6946 = \frac{y}{17}$

$\implies 0.6946 \times 17 = y$

$\implies y = 11.80$

$\implies y = 11.8$

And, tangent of 44 degrees is give by

$tan 44^{o} = \frac{opposite \ side }{adjacent \ side }$

$\implies tan44^{o} = \frac{y}{x}$

$\implies tan44^{o} = \frac{11.8}{x}$

$\implies 0.9657 = \frac{11.8}{x}$

$\implies x = \frac{11.8}{0.9657}$

$\implies x = 12.22$

$\implies x = 12.2$

Therefore, the value of x and y is 12.2 and 11.8 respectively.

Find out more information about tangent and sine of an angle here:

https://brainly.com/question/12465968

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