Question

In the triangle below,

Answer 1

Answer:

y = 32.0°

Step-by-step explanation:

As the given triangle is a right triangle, use trigonometric ratios to solve.

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• A is the side adjacent the angle
• H is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

• $\theta$ = y
• O = 9 cm
• H = 17 cm

Therefore, use the sine trigonometric ratio to find y:

$\implies \sin y = \dfrac{9}{17}$

$\implies y=\sin^{-1} \left( \dfrac{9}{17} \right)$

$\implies y = 31.96571875...^{\circ}$

$\implies y=32.0\:\:\sf(nearest\:tenth)$

Learn more about trig ratios here:

brainly.com/question/27644594

brainly.com/question/27938163

Answer 2

Y = 32.0⁰ or 32⁰ in the nearest tenth

Step by step explanation:

sin y = 9 = 0.53

17

y = arcsin 0.53 = 32.0⁰ = 32 ⁰

MARK BRAINLIEST