Problem 9
By definition,
![tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44](https://tex.z-dn.net/?f=tan%2022%5E%7Bo%7D%20%3D%20%20%5Cfrac%7B203%7D%7Bx%7D%20%5C%5C%200.404%20%3D%20%20%5Cfrac%7B203%7D%7Bx%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B203%7D%7B0.404%7D%3D%20502.44)
Answer: 502.4 m
Problem 10
From geometry, the angle opposite x is 27°.
By definition,
![sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32 ](https://tex.z-dn.net/?f=sin%2027%5E%7Bo%7D%20%3D%20%20%5Cfrac%7Bx%7D%7B580%7D%20%5C%5C%200.454%20%3D%20%20%5Cfrac%7Bx%7D%7B580%7D%20%5C%5C%20x%3D%28580%29%280.454%29%3D263.32%0A)
Answer: 263.3 yd
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
1)
36/3 x 42/3 = 12yd x 14yd
12×14=168
you will need 168 square yards to recarpet the kindergarten.
2)
168×24.99=4198.32
it will cost $4198.32 to recarpet the kindergarten.
3)
3.5 is 35% of 10
4198.32÷3.5=1198.52
they will need to sell 1199 coupon books to completely pay for the the recarpeting.
180-38= 142. So your answer would be 142 for dc.