Question

Analyze the diagram below and complete the instructions that follow.

8

Find the value of y.
A. y = 2
B. Y=4sqrt3/3
C. y = 4
D. Y=4sqrt3

Answer 1

The calculated value of y is 4 in the right triangle

How to determine the value of y

From the question, we have the following parameters that can be used in our computation:

The right triangles

The value of y can be calculated using the following sine ratio

sin(angle) = opposite/hypotenuse

Using the above as a guide, we have the following:

sin(30) = y/8

So, we have

y = 8 * sin(30)

Evaluate

y = 4

Hence, the value of y is 4

Answer 2

y = 4

Explanation:

Thewtriangle on the right side has a 90° angle and a 30°, so the third angle is 60°. That makes the triangle a 30-60-90 right angle. The short leg is half the length of the hyptenuse.

y = 8/2 = 4

Answer: C. y = 4