find the value of y in the triangle below to the nearest hundredth.

6.69ft

Step-by-step explanation:

y = 6.69 ft

Step-by-step explanation:

Given : A right angled triangle with perpendicular is y ft and hypotenuse is 15 ft.

We have to find the measure of y.

Consider the given triangle

Using trigonometric ratio,

Sine of angle is the ratio of perpendicular to its hypotenuse.

Thus,                 

For

We have perpendicular = y ft and hypotenuse = 15 ft.

Multiply both side by 15, we have,

Simplify, we have ,

y = 6.69

Thus, y = 6.69 ft

w = -

Step-by-step explanation:

Given

- 2 = 2w ( change the mixed number to an improper fraction )

- = 2w ( multiply both sides by 4 to clear the fraction )

- 9 = 8w ( divide both sides by 8 )

- = w