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dsp73
3 years ago
15

A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry

point of the ramp? Round the solution to the nearest hundredth.
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

7.96 ft

Step-by-step explanation:

Given;

Length of ramp L = 8 ft

Angle with the horizontal (ground) = 6°

Applying trigonometry;

With the length of ramp as the hypothenuse,

The horizontal distance d as the adjacent to angle 6°

Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;

Cosθ = adjacent/hypothenuse

Substituting the values;

Cos6° = d/8

d = 8cos6°

d = 7.956175162946

d = 7.96 ft

The building is 7.96ft away from the entry point of the ramp.

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Step-by-step explanation:

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3 years ago
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the water level wi
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Answer:

Step-by-step explanation:

A)

"In the last 2.5 years, the water level has decreased 0.75 feet."

In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows

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"The overall change of the water level after 7.5 years will be -2.75 feet."

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3 years ago
Select the best attribute for the angle pair formed by two parallel lines intersected
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Answer:

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