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.
Accepted Solution
A:
Answer:Step-by-step explanation:Alright lets get started.We have given two sides and one angle between both sidesOne side is 27Second side is 19The angle between them is 26 degrees.Using the cosine law[tex]a^2 = b^2 + c^2 - 2bc cos A[/tex][tex]a^2=27^2+19^2-2*27*19*cos26[/tex][tex]a^2 = 167.8373[/tex]Taking square root on both sidesa = 12.955To the nearest miles : a is 13 milesHence the distance between Michael's house and Henrietta's house is 13 miles. : AnswerHope it will help :)