Question

8. Find the values of the variables.

a. x = 39.6, y = 10.6
b. x = 10.6, y = 39.6
c.x= 42.4, y = 158.4
d. x 158.4, y = 42.4

Answer 1

x = 10.6, y = 39.6

Explanation:

Given that,

Angle A = 75°

Angle B = 90°

Angle C = 180-(A+B)

= 15°

Now, using trigonometry,

`\sin C=(x)/(41)\\\\x=41* \sin C\\\\=41* \sin(15)\\\\x=10.6`

For y, using Pythagoras theorem,

`y=√(41^2-10.6^2) \\\\y=39.6`

Hence, the value of x is equal to 10.6 and that of y is equal to 39.6.