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The answer is 66
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Answer:
Question 5: y = 6.69 ft
Question 6: z = 12.52 in
Step-by-step explanation:
<u>Question 5</u>
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:
![Sin(26.5)=\frac{y}{15}\\y=15*Sin(26.5)\\y=6.69](https://tex.z-dn.net/?f=Sin%2826.5%29%3D%5Cfrac%7By%7D%7B15%7D%5C%5Cy%3D15%2ASin%2826.5%29%5C%5Cy%3D6.69)
So,
y = 6.69 feet
<u>Question 6</u>
With relation to the angle given, we have the "adjacent" side and the "hypotenuse".
Which trigonometric ratio relates "adjacent" with "hypotenuse"?
<em>It is COSINE!</em>
<em />
We can set up a ratio as the previous question and solve for z:
![Cos(37)=\frac{10}{z}\\z=\frac{10}{Cos(37)}\\z=12.52](https://tex.z-dn.net/?f=Cos%2837%29%3D%5Cfrac%7B10%7D%7Bz%7D%5C%5Cz%3D%5Cfrac%7B10%7D%7BCos%2837%29%7D%5C%5Cz%3D12.52)
So,
z = 12.52 inches
It's 3/7
choices possible:
1,1
1,2
1,3
1,4
2,3
3,3
3,4