Question

“Find the missing side length of the right triangle, round to the nearest hundredth. EXPLAIN HOW YOU GOT YOUR ANSWER AND WHICH TRIGONOMETRIC RATIO YOU USED.”

Answer 1

Answer:

X=21.21

Step-by-step explanation:

Cos(45)=15\x

0.707=15\x

15\0.707 =x

X= 21.21

Answer 2

The missing side length of the right triangle is 20.51.

What are trigonometric ratios ?

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios. The other important trig ratios, cosec, sec, and cot, can be derived using the sin, cos, and tan respectively."

Given,

Perpendicular of the triangle is 15

Hypotenuse of triangle is x

And the adjacent angle will be 180°-133° = 47°

Now, $sin(47 degree) = Perpendicular/hypotenuse = 15/x$

$x = 15/0.731 = 20.51$

In the to get to the answer we use sine of the triangle.

Because sin is the ratio of the perpendicular to the hypotenuse.

Hence, The missing side of the right triangle is 20.51.

To know more about trigonometric ratios here

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