3 years ago

Given the diagram shown below, which of the following best represents the distance from the school to the library?

1 answer:

7 0

Use the sine theorem:

sin(angle A) / length of side a = sin (angle B) / lenght of side b

Here:

angle A = 32°

length of side a = length from school to library = x

angle B = 110°

length of side b = 2.2 mi

Then, sin(32°) / x = sin(110°) / 2.2 mi

=> x = 2.2 mi * sin (32) / sin (110)

x = 1.24 mi

Therefore the answer is the option B. 1.2 mi

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