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3 years ago

I need help with this question

Mathematics

1 answer:

bearhunter [10]3 years ago

5 0

Answer:

7.28 miles

Step-by-step explanation:

Suppose the distance at closest approach is represented by x. Then the distance to the point of closest approach at the first sighting is ...

d1 = x·tan(62°)

At the second sighting, the distance to the point of closest approach is ...

d2 = x·tan(38°)

The difference of these distances is 8 miles, so we have ...

d1 -d2 = 8 = x(tan(62°) -tan(38°))

Dividing by the coefficient of x, we find ...

x = 8/(tan(62°) -tan(38°)) ≈ 7.2764 . . . . miles

The point of closest approach is about 7.28 miles from the landmark.

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