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irina [24]
3 years ago
8

What is the value of y

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

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.

azamat3 years ago
7 0
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
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