Question

What is the value of y

Answer 1

tan =opposite/adjacent
opposite = y
adjacent = 15
tan = 26.5
rearrange the fomula to make:
opposite = tan × 15 (or tan26.5* 15)
y = 7.47 or rounded to 7.5ft

Answer 2

Answer: The value of y is 6.69.

Explanation:

According to trigonometry , in a right triangle

`\sin x=\frac{\text{Side opposite to angle }x}{\text{Hypotenuse}}`

As per given , angle =
`26.5^(\circ)`

Hypotenuse = 15 ft

y= Side opposite to
`26.5^(\circ)`

Then,

`\sin 26.5^(\circ)=(y)/(15)\\\\\Rightarrow\ 0.44619781=(y)/(15)\\\\\Rightarrow\ y=0.44619781*15=6.69296715\approx6.69\text{ ft.}`

Hence, the value of y is 6.69 ft.