Answer:
The distance between points a and b in a triangle shape is 70.17 m
Step-by-step explanation:
Triangle is a special shape that has the rule that the total angle in the triangle should be 180⁰
A + B + C = 180⁰
where A, B, and C are the angles in the triangle.
Moreover, the triangle has a sine rule which shows the relationship between sides and angles. It is given as :
a/sinA = b/sinB = c/sinC
From the question above, we know that :
A = 70.5⁰
C = 38.83⁰
b = 105.6 m
It is needed to determine the angle of B
A + B + C = 180⁰
70.5⁰ + B + 38.83⁰ = 180⁰
B = 70.67⁰
Then, determine the distance between points a and b (c) by using the sine rule
b/sinB = c/sinC
105.6 / sin(70.67⁰) = c / sin(38.83⁰)
105.6 / 0.94 = c / 0.63
c = 70.17 m
Hence, the distance between points a and b is 70.17 m
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