Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
Climbing atop the rock, Putri spots the cave. She then turns 58 degrees to the right of her original path and walks to the cave. After exploring the cave, she looks back at the big rock and wonders how to get home.
Assuming Putri is facing the big rock, how many degrees to her left should she turn before walking home?

The Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The total distance between cave to home AC = 3.72 km

The distance she walks AB = 2.60 km

The angle of turn = 58°

As we can see in the triangle ABC we can apply the sin law:

[tex]\rm \frac{AB}{sinx} = \frac{AC}{sin58\°}[/tex]

[tex]\rm \frac{2.6}{sinx} = \frac{3.72}{sin58\°}[/tex]

sinx = 0.5927

x = 36.35 ≈ 36°

Thus, the Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

Learn more about the triangle here:

brainly.com/question/25813512

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