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.

Step-by-step explanation:

According to trigonometry , in a right triangle

$\sin x=\dfrac{\text{Side opposite to angle }x}{\text{Hypotenuse}}$

As per given , angle = $26.5^{\circ}$

Hypotenuse = 15 ft

y= Side opposite to $26.5^{\circ}$

Then,

$\sin 26.5^{\circ}=\dfrac{y}{15}\\\\\Rightarrow\ 0.44619781=\dfrac{y}{15}\\\\\Rightarrow\ y=0.44619781\times15=6.69296715\approx6.69\text{ ft.}$

Hence, the value of y is 6.69 ft.