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You are climbing a mountain by the steepest route at a slope of 10∘ when you come upon a trail branching off at a 45∘ angle from yours. What is the angle of ascent of the branch trail?

Verified Answer :

syed514

Imagine you're at origin when you saw another trial 45 degrees from your trail
so the correct answer is the answer is arctan(cos(45)tan(10))

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Answer:

The angle of ascent of the branch trail is 55°.

Step-by-step explanation:

Givens

  • The steepest route at a slope of 10°.
  • Then, when we start the branch trail, the angle is 45°.

So, if we want to know the angle of ascent, we need to find the angle from the horizontal plane. That means we need to sum both angles,

\(10\° + 45\° = 55\°\)

Therefore, the angle of ascent of the branch trail is 55°.

Remember that such angle of ascent is measured from the horizontal plane.

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