Question
To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is found to be 10 degrees, and then walks off the distance to each house, 90 feet and 100 feet, respectively. How far apart are the houses?
Answers
summary: You have triangle ABC, angle C = 10°, AC=90 and BC = 100
using the cosine law:
AB^2 = 90^2 + 100^2 - 2(90)(100)cos10fl
do the math
using the cosine law:
AB^2 = 90^2 + 100^2 - 2(90)(100)cos10fl
do the math
AB = AC + CB = -90 + 100Ft[10o]
AB = -90 + 100*cos10+100*sin10
AB = -90 + 98.5+17.4i = 8.5 + 17.4i = 19.4 Ft.
AB = -90 + 100*cos10+100*sin10
AB = -90 + 98.5+17.4i = 8.5 + 17.4i = 19.4 Ft.
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