A rocket launched at an angle into outer space. After a minute, the rocket traveled 5 miles and had an altitude of 3.5 miles. What is the angle of elevation that the rocket was launched at?

Question

Lailah Yoder

Mathematics

4 December, 22:09

A rocket launched at an angle into outer space. After a minute, the rocket traveled 5 miles and had an altitude of 3.5 miles. What is the angle of elevation that the rocket was launched at?

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Answers (1)

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Dangelo · Answer 1

angle = 35 degrees

Step-by-step explanation:

The rocket traveled

5 miles in the x direction

3.5 miles in the y direction

The rocket was launched with a slope of

m = y/x = 3.5 miles / 5 miles = 0.7

The slope is equal to the tangent of the angle of elevation

tan (angle) = m

angle = tan^-1 (0.7)

angle = 34.99 ≈ 35 degrees