Doris H. answered 02/09/25
Experience Math Specialist: Helping Students to Improve Math Scores
Kim is watching a satellite launch from an observation spot 5 miles away.
Find the angle of elevation from Kim to the satellite, which is at a height of 3.6 miles.
Summary of the math problem:
The distance from Kim to the launch spot is 5 miles.
The height of the satellite is 3.6 miles
Use theTangent ^-1 ( inverse tangent) function to find the angle of elevaion from Kim to the satellite.
The angle of elevation (theta) is the ratio of the satellite height to the distance from Kim
theta = 3.6 miles divided by 5 miles = .72 miles unit cancel out
Find the angle of elevation.
Use the inverse tangent function to find theta.
theta = tan^-1 (.72) = 35.75388725 roundoff as specified theta = 35.75 degrees
Solution: The angle of elevation from Kim to the satellite is 35.75 degrees.
I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.