Question

In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8.3 EndFraction)? A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is between those sides. A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5. A right triangle is shown. The length of the hypotenuse is 5 and the length of another side is 8.3. The angle opposite to side with length 8.3 is x. A right triangle is shown. The length of 2 sides are 8.3 and 5. The angle opposite to side with length 5 is x.

Answer 1

I got triangle B correct on edge assignment

Explanation:

Answer 2

Question:

In which triangle is the measure of the unknown angle, x, equal to the value of
`sin^(-1)((5)/(8.3))?`

- A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is between those sides.

- A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5.

- A right triangle is shown. The length of the hypotenuse is 5 and the length of another side is 8.3. The angle opposite to side with length 8.3 is x.

- A right triangle is shown. The length of 2 sides are 8.3 and 5. The angle opposite to side with length 5 is x.

Answer:

The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5.

Explanation:

Given

`x = sin^(-1)((5)/(8.3))`

Required

Determine the triangle that illustrates the given parameters

From the list of given options, we understand the the triangle is a right angled triangle.

Provided that

`x = sin^(-1)((5)/(8.3))`

Take sin of both sides

`sin\ x = sin(sin^(-1)((5)/(8.3)))`

`sin\ x = (5)/(8.3)`

From trigonometry; we understand that

`sin\ x = (Opp)/(Hyp)`

Where Opp is the Opposite and Hyp is the Hypotenuse of the triangle

By comparison, this means that

`Opp = 5\\Hyp = 8.3`

From the list of given options;

The option that best fit the illustration above is option B;

Because of the following;

1. The length of the hypotenuse is 8.3

2. The length of another side is 5.

3. Angle x is opposite to side with length 5.

See attachment for the actual triangle;