The flight path of a plane is a straight line from city J J to city K K. The roads from city J J to city K K take the long way a

Question

3 years ago

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The flight path of a plane is a straight line from city J J to city K K. The roads from city J J to city K K take the long way a

round, traveling 9.4 9.4 miles south and then 15.1 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth? M ∠ J ≈ ? M∠J≈

Mathematics

1 answer:

Vika [28.1K] · Answer 1 · 2022-06-24T04:16:11+03:00

Answer:

58.1 degrees

Step-by-step explanation:

Given the following

JK = 9.4miles (towards south) negative y axis

If the move 15.1 miles towards east (that will be towards the positive x axis)

Using the SOH CAH TOA identity

opposite= 15.1 miles(side facing m<J)

adjacent= JK = 9.4miles

tan theta = opposite/adjacent

tan m<J = 15.1/9.4

tan m<J = 1.6063

m<J = arctan (1.6063)

m<J = 58.09 degrees

Hence the measure of m<J to the nearest tenth is 58.1 degrees