Solution:
We are given with a diagram of a Triangle. The triangle is a right angled triangle with Hypoteneous 15ft, angle 26.5 degree and the opposite side is y.
we have been asked to find the the value of y from the given diagram.
For the given Triangle we can write
[tex] Sin \theta =\frac{Opposite}{Hypotaneous}\\ [/tex]
Substitute the given values we get
[tex] Sin 26.5 =\frac{y}{15}\\ [/tex]
Simplify we get
[tex] y =15* Sin 26.5\\ [/tex]
[tex] y =15* 0.44619\\ [/tex]
[tex] y =6.69285\\ [/tex]
[tex] y \approx 6.69\\ [/tex] ft