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How to solve this question. The answer is A but i don’t know how to get that answer.

How to solve this question. The answer is A but i don’t know how to get that answer-example-1
User Smana
by
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1 Answer

1 vote

Answer:

A. 3791 ft.

Explanation:

I am assuming the distance walked = 1000 ft.

Consider the large triangle:

tan 25 = x / (1000 + y), where y is the length of the base of small triangle.

Now consider the small triangle(inside the large one):

tan 28 = x/y

From the last equation x = y tan28

So substituting for x in the first equation:

tan25 = y tan28 / (1000 + y)

1000tan25 + y tan 25 = y tan 28

y (tan28 - tan25) = 1000 tan25

y = 1000 tan25 / (tan28 - tan25)

= 7129.9 ft

So x = 7129.9 * tan 28

= 3791.04 ft.

User Hisako
by
8.1k points

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