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Jermaine, Henrietta, and Michael are each at home. Their relative locations are shown in the diagram.

What is the distance between Michael's house and Henrietta's house?

Enter your answer in the box. Round your final answer to the nearest mile.

Jermaine, Henrietta, and Michael are each at home. Their relative locations are shown-example-1

2 Answers

3 votes

Answer:

13 M

Explanation:

User Nifal Nizar
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0 votes

Answer:

Explanation:

Alright lets get started.

We have given two sides and one angle between both sides

One side is 27

Second side is 19

The angle between them is 26 degrees.

Using the cosine law


a^2 = b^2 + c^2 - 2bc cos A


a^2=27^2+19^2-2*27*19*cos26


a^2 = 167.8373

Taking square root on both sides

a = 12.955

To the nearest miles : a is 13 miles

Hence the distance between Michael's house and Henrietta's house is 13 miles. : Answer

Hope it will help :)

User OhioDude
by
5.8k points