A man walks 5 feet, turns 20 degrees and then walks another 10 feet. How far is the man from where he started? Round your answer
1 answer:
Answer:
About 14.8 ft
Step-by-step explanation:
This is a triangle. A man walks one direction, turns, and walks another direction. The question asks for you to find the distance, which is the hypotenuse side. This makes our triangle (see attachment 1)
Since this is not a right triangle, we will use law of cosines.
We are given 2 sides and an angle. However, 20 degrees is the exterior angle. To find the interior angle (green theta), we have to do a calculation:
180-20=160 degrees. This is green theta.
Now, we have all we need to use law of cosines. (see attachment 2)
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Answer:
46.2 mi is the right answer.
Step-by-step explanation:
In this question we will follow the property of congruence of two triangles.
Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
As we know in the congruent triangles all sides are in the same ratio.
Now we apply the property of the theorem
x = 46.2 mi