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Bumek
3 months ago
10

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?

Mathematics
2 answers:
Zina [12.3K]3 months ago
7 0
Envision yourself starting at the origin, noticing another path deviating 45 degrees from your current one.
Thus, the correct solution would be given by arctan(cos(45)tan(10)).

Inessa [12.5K]3 months ago
6 0

Answer:

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

Step-by-step explanation:

Given:

  • The steepest ascent has a slope of 10°.
  • When we reach the branch trail, the angle measures 45°.

To find the angle of ascent, we need to compute the angle from the horizontal. This involves adding the two angles together.

10\° + 45\° = 55\°

Thus, the angle of ascent for the branch trail totals 55°.

It's important to note that this angle is measured from the horizontal plane.

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