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Kaylis [27]
3 years ago
13

A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer: 19.47°

Step-by-step explanation:

In solving problems like this, it's best to work on a diagram (see attached image). First, given the angle formed by the ramp and the length of the ramp, we can apply the properties of right triangles and recall that 

Hence, we have

Now that we have the window's height, we can compute for the angle, θ, if the ramp has a length of 15.

Therefore, for the 15-foot ramp to reach the window, the ramp must form an angle of 19.47°.

Answer: 19.47°

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20,000 x 25 = 500,000
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3 years ago
Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3
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Answer:

(a)The percentage of hatchbacks that run on gasoline.=78%

(b) The percentage of diesel vehicles that are hatchbacks.=21%

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Step-by-step explanation:

This table gives information about vehicles sold at a dealership in a month.

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(a)The percentage of hatchbacks that run on gasoline.

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Percentage of diesel vehicles that are hatchbacks=(5÷24)X100=21%

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Percentage of SUVs that run on gasoline=(3÷10)X100=30%

(d)The percentage of gasoline vehicles that are sedans.

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Percentage of Sedans that run on gasoline=(15÷36)X100=42%

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Number of Diesel Sedans=12

Percentage of sedan that run on diesel=(12÷27)X100=44%

(f)The percentage of gasoline vehicles that SUVs.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷36)X100=8%

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