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the measure of the middle ordinate of a yaw mark is 6 ft. the radius of the arc is 70 ft. what was the length of the chord used in this situation? round the answer to the nearest tenth of a foot.

Respuesta :

The required value of cord of the circle using given values is 61.6 ft

How to calculate length of cord in circle?

we will use the formula of middle ordinate M = R(1-cos Δ/2) to find the length of the cord used.

According to given data in the question:

we have, middle ordinate(M) = 6 ft and radius(R) = 70 ft

We know, formula to find ordinate

M = R(1-cos Δ/2)

6 = 70 (1 - cos Δ/2)

cos Δ/2 = 1-6/70 = 32/35

then, sin Δ/2 = √1 - (32/35)^2 = 0.44

Now,

length of cord (L) = 2×R×sin Δ/2

L = 2×70×0.44 = 61.6 ft

Hence required answer is 61.6 ft.

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