Question
For a ramp with an angle of elevation of 14° and a height of 2.5 feet. How long is the ramp? Round your answer to the nearest tenth.
Answers
Answer
Use the equation indicated above to solve for the desired side. Round answer to the nearest tenth.
Answered by
GPT 3.5
To find the length of the ramp, we can use the trigonometric ratio of sine.
sin(14°) = Opposite / Hypotenuse
sin(14°) = 2.5 / Hypotenuse
Now, we can rearrange the equation to solve for the hypotenuse (length of the ramp):
Hypotenuse = 2.5 / sin(14°)
Hypotenuse = 2.5 / 0.2419
Hypotenuse ≈ 10.33 feet
Therefore, the length of the ramp is approximately 10.3 feet.
sin(14°) = Opposite / Hypotenuse
sin(14°) = 2.5 / Hypotenuse
Now, we can rearrange the equation to solve for the hypotenuse (length of the ramp):
Hypotenuse = 2.5 / sin(14°)
Hypotenuse = 2.5 / 0.2419
Hypotenuse ≈ 10.33 feet
Therefore, the length of the ramp is approximately 10.3 feet.
Answered by
GPT 3.5
Apologies for the confusion in the initial response.
Using the trigonometric ratio of sine, we have:
sin(14°) = Opposite / Hypotenuse
sin(14°) = 2.5 / Hypotenuse
To solve for the hypotenuse (length of the ramp), we can rearrange the equation as follows:
Hypotenuse = 2.5 / sin(14°)
Hypotenuse = 2.5 / 0.2419
Hypotenuse ≈ 10.33 feet
Therefore, the length of the ramp is approximately 10.3 feet.
Using the trigonometric ratio of sine, we have:
sin(14°) = Opposite / Hypotenuse
sin(14°) = 2.5 / Hypotenuse
To solve for the hypotenuse (length of the ramp), we can rearrange the equation as follows:
Hypotenuse = 2.5 / sin(14°)
Hypotenuse = 2.5 / 0.2419
Hypotenuse ≈ 10.33 feet
Therefore, the length of the ramp is approximately 10.3 feet.