Mathematics: Aboy scout on top of a 1700 foot tall mountain spots a campsite. if he measures the angle of depression at 35°, how far is the campsite from the foot of the mountain

1 1/4 x 4 since there is 4 recipes that use it and you would get - 5 I believe...

Aboy scout on top of a 1700 foot tall mountain

Ответ:

smartgirl61987

08.01.2022

Mathematics

1190.35 ft

Step-by-step explanation:

The figure for the given scenario is shown below.

From the triangle Δ ABC, AB is the height of mountain, BC is the distance of campsite from the foot of mountain and $\angle A$ is the depression angle.

So, $AB=1700\textrm{ ft},\angle A=35$ °

Let the side BC be ft.

Now, the tan of the angle A is given as:

$\tan (\angle A) =\frac{BC}{AB}$

Plug in for BC, 1700 ft for AB and 35° for $\angle A$ . Solve for . This gives,

$\tan (35)=\frac{x}{1700}\\x=1700\times \tan (35)=1190.35\textrm{ ft}$

Therefore, the distance of campsite from the foot of the mountain is 1190.35 ft.

Aboy scout on top of a 1700 foot tall mountain spots a campsite. if he measures the angle of depress

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Aboy scout on top of a 1700 foot tall mountain spots a campsite. if he measures the angle of depression at 35°, how far is the campsite from the foot of the mountain

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