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3 years ago

Write a function rule for “The output is 5 less than the input.” Let x be the input and let y be the output.

Mathematics

1 answer:

Arisa [49]3 years ago

5 0

The output is 5 less than the input is equivalent to the
input is five more than the output or x + 5 = y

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Hudson (3 3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40∘ 40 ∘ . The kite strin

ozzi

Answer:

83.35 feet above ground.

Step-by-step explanation:

Please find the attachment.

We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.

We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.

To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(40^{\circ})=\frac{h}{125}$

$h=125\cdot \text{sin}(40^{\circ})$

$h=125\cdot 0.642787609687$

$h=80.348451210875\approx 80.35$

To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

$80.35+3=83.35$

Therefore, the kite is approximately 83.35 feet above ground.

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