Question

Answer question in image attached :) 20 points

Answer 1

Answer:

y = 37.98 °

Step-by-step explanation:

In the given right  triangle , the length of hypotenuse = 13 units

The length of the side opposite to y°= 8 units

The by using trigonometric ratios, we have

$Sin$ $y$ ° $=\frac{8}{13}$

⇒ $sin$ $y$ ° $=0.6154$

⇒$y$ ° $=sin^-^1(0.6154)$

⇒ $y$ ° $=37.98099075$ ≈ $37.98$

Hence, the measure of angle y = 37.98 °

[RevyBreeze]

Answer 2

Answer:

$\sf y = 52.02^{\circ \:}$

given:

• adjacent side: 8
• hypotenuse side: 13

using cosine rule:

$\sf cos(y) = \frac{adjacent }{hypotenuse }$

$\sf cos(y) = \frac{8}{13}$

$\sf y = cos^{-1}(\frac{8}{13})$

$\sf y = 52.02^{\circ \:}$