Katrina lives on the corner of Maple and First. Her school is on the corner of Oak and Second. The distance on First from Maple to Oak is 300 ft. If she uses a calculated angle of 30° to walk a diagonal route through the park instead of the streets, how much shorter is her walk to school? Round your answer to the nearest hundredth.

Question

Mathematics

Trevin Taylor

1 February, 21:27

Katrina lives on the corner of Maple and First. Her school is on the corner of Oak and Second. The distance on First from Maple to Oak is 300 ft. If she uses a calculated angle of 30° to walk a diagonal route through the park instead of the streets, how much shorter is her walk to school? Round your answer to the nearest hundredth.

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Sanchez · Answer 1

We are given:

The distance on First from Maple to Oak is 300 feet.

The angle of walking in a diagonal = 30 degrees.

If she walks using the streets, she needs to pass through two lines (legs of a right triangle) while if she uses the diagonal route through the park, she uses the hypotenuse of the triangle. Pythagorean Theorem states that the hypotenuse is always shorter than the sum of the two legs. Thus, the shorter path is the diagonal path. To calculate the exact value, use the illustration of a right triangle.