3 years ago

30 in.

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

120

Step-by-step explanation:

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Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘.

stiv31 [10]

Answer:

681 feet

Step-by-step explanation:

Let x represent the distance between campsite and the base of the cliff.

We have been given that Haylee hikes to the top of a 120-foot vertical cliff. From the top of the cliff, the angle of depression to her campsite is 10∘. We are asked to find the distance between campsite and the base of the cliff.

We can see that angle of depression forms a right triangle with respect to ground, cliff and campsite.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(10^{\circ})=\frac{120}{x}$

$x=\frac{120}{\text{tan}(10^{\circ})}$

$x=\frac{120}{0.176326980708}$

$x=680.5538183559$

Upon rounding to nearest foot, we will get:

$x\approx 681$

Therefore, the campsite is 681 feet away from the base of the cliff.

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3 years ago

Plz answer ill marl brainliest to whom ever amswers both!!!

borishaifa [10]

Answer:

1 is the 3rd option

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Answer:

0.7475

Step-by-step explanation:

A suitable calculator can show the area under the curve is 0.7475.

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Plz help! Detailed explanation, please!! Thank You!

Irina-Kira [14]

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since the 4 is a triangle you must divide the 4 by 2 to get 2 then add 2 to 10 to get 12 and multiply 12 by 6 to get 72. Make sense?

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