Question

WILL MARK BRAINLIEST. NEED HELP ASAP!

Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is sighted from B. if the bearing of the boat from B is N 61 degrees E, how far from B is the boat?
The boat is either ___ miles or ___ miles from lighthouse B, to the nearest tenth of a mile.

Answer 1

9.986 miles.

When to use miles in distance?

A mile is a unit of length or distance measurement that is equal to 5,280 feet.

Given:

location of light house B from A = 10 miles west

distance of the boat from A = 5 miles

bearing of the boat from A = NE65

Now,

sinB = bsinA/a

=10 sin29/5

= 10*0.484/5

= 0.9696

B = 75.836166

Now,

$\theta$ = 180 - 29 - 75.836166

   = 75.16

Thus,

a/sinA = c/sinC

c = asinC/sinA

= 5* sin 75.16°/sin 29°

= 5* (0.9666)/0.484

= 4.833/0.484

= 9.986 miles

Learn more about this concept here:

https://brainly.com/question/22749660

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