PLEASE PLEASE HELP
1 answer:
Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
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Answer:
see the explanation
Step-by-step explanation:
Let
A (1,6)------> location Brianna's house on a map
B (5,3)------> location Jordan's house on a map
we know that
One possible path from Brianna's house to Jordan's house it's a straight line ( the shortest distance)
using a graph tool
see the attached figure
<em>Find the distance points AB</em>
the formula to calculate the distance between two points is equal to
substitute the values
The distance from Brianna's house to Jordan's house is 5 units
