Question

NEED THIS ANSWERED FAST PLEASE! BUT PLEASE DON'T RUSH AND PUT THE WRONG ANSWER! A boat is crossing the river as shown. To the nearest tenth of a degree, find the angle at which the boat must head upriver in order to travel directly across the river. The diagram is not drawn to scale.

A. 70.3 north of west
B. 19.7 north of west
C. 19.7 south of west
D. 70.3 south of west

Answer 1

(B)

Explanation:

It is given that a boat is crossing the river, then the angle at which the boat must head upriver in order to travel directly across the river will be:

Using the trigonometry, we have

`(5)/(14)=tanx^(\circ)`

⇒
`x^(\circ)=tan^(-1)((5)/(14))`

⇒
`x^(\circ)=19.65`

⇒
`x^(\circ)`≈
`19.7 north of west`

The boat is heading upriver from west to north, thus the angle at which the boat must head upriver in order to travel directly across the river will be 19.7 north of west.

Thus, option B is correct.