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skad [1K]
3 years ago
15

The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 de

grees. Each person is 1.7 meters tall from his feet to his eyeballs. Find the measure of angle ACB. (Hint: Find measure of angle ABC first).
A) 151 degrees
B) 9 degrees
C) 171 degrees
D) 20 degrees

Mathematics
1 answer:
Otrada [13]3 years ago
7 0

The angle measure of ACB is 9 degrees

Answer: Option B

<u>Step-by-step explanation:</u>

To find the solution to the given problem, first we need to look into the point B. It consists two angles and both of them are on a straight angle. So, this means that the sum of angle ABC and CBD is 180 degrees, that is

               \angle A B C+\angle C B D=180^{\circ}

We know that \angle C B D=29^{\circ}. Therefore

               \angle A B C+29^{\circ}=180^{\circ}

               \angle A B C=180^{\circ}-29^{\circ}=151^{\circ}

Now, in the triangle ABC, we know that all three angles must sum 180 degrees,

               \angle C A B+\angle A B C+\angle B C A=180^{\circ}

               20^{\circ}+151^{\circ}+\angle B C A=180^{\circ}

               \angle B C A=180^{\circ}-20^{\circ}-151^{\circ}=9^{\circ}=\angle A C B

Therefore, the angle ACB is 9 degrees.

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The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

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now we solve for h

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Now we will substitute this value in the above first equation:

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Now for the maximum area we have to find the first order differentiation of y

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At dy/dx = 0 we get the value of x for which y is maximum.

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The dimensions of the rectangular pen should be 15 by 20 feet and the maximum area is 1200 square feet.

Disclaimer : The missing figure for the question is attached below.

To learn more about area visit:

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