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zzz [600]
3 years ago
10

A sailboat and a power boat leave from the same marina at the same time. The sailboat travels at 7 km/h, 14? west of south. The

power boat travels at 19 km/h, 22? east of south. They travel for 6 h on the same course and stop. How far apart are the boats to the nearest tenth of a kilometre?

Mathematics
2 answers:
Zina [86]3 years ago
6 0
About 83.7km. See full solution in photo.

GREYUIT [131]3 years ago
3 0
Use the law of Cosines where
angle A = 14+22=36 degrees
side b = 6 times 7
side c = 6 times 19
So you have a triangle with 2 legs of 42 and 114 with angle A = 36 degrees between them.
The law of Cosines is then
a^2 = 42^2 + 114^2 - 2(42)(114)Cosine(36)
Solve and take the square root.
= 7012.85 taking the square root of it
= 83.74 km apart

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NISA [10]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

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3 years ago
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