Answer:
Question 5: y = 6.69 ft
Question 6: z = 12.52 in
Step-by-step explanation:
Question 5
In the right triangle shown, with respect to the angle given, y is the side that is "opposite" and the known side (15) is the "hypotenuse".
Note: The side opposite of right angle is the hypotenuse
Which trigonometric ratio relates "opposite" and "hypotenuse"? It is "SINE".
Let's setup the ratio and solve for y:
[tex]Sin(26.5)=\frac{y}{15}\\y=15*Sin(26.5)\\y=6.69[/tex]
So,
y = 6.69 feet
Question 6
With relation to the angle given, we have the "adjacent" side and the "hypotenuse".
Which trigonometric ratio relates "adjacent" with "hypotenuse"?
It is COSINE!
We can set up a ratio as the previous question and solve for z:
[tex]Cos(37)=\frac{10}{z}\\z=\frac{10}{Cos(37)}\\z=12.52[/tex]
So,
z = 12.52 inches
