Q:

an airpline flies 165 miles from point A in the direction 130degrees and then travels in the direction 245 degrees for 80 miles. approximately how far is the airplane from point A?

Accepted Solution

A:
Answer:205.4 milesStep-by-step explanation:As per the question,We have been provided that an airplane started flies 165 miles from point A  in the direction of 130 degrees and after that, it changes its direction to 245 degrees and travel to 80 miles again, which is drawn in the figure as below:From the figure,Let XY be the plane.Now,By using the cosine rule in triangle APR, we getAP² = AR² + PR² - 2 × AR × PR × cos 115°Now put the value from figure:AP² = 165² + 80² - 2 × 165 × 80 × (-0.325)AP² = 42205AP = 205.4 miles.Hence, the airplane is 205.4 miles far from point A.