The front of an A-frame cottage has the shape of an isosceles triangle. It stands 28 feet high and is 18 feet wide at its base. What is the angle of elevation of its roof? (Round your answer to two decimal places.)

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  72.18°

Step-by-step explanation:

The altitude of the front is 28 ft. It cuts the base in half, so the other leg of the right triangle is (18 ft)/2 = 9 ft. You know the tangent relation is ...

  Tan = Opposite/Adjacent

The angle of interest has opposite side 28 ft and adjacent side 9 ft, so we have ...

  tan(elevation angle) = (28 ft)/(9 ft)

  elevation angle = arctan(28/9)

  elevation angle ≈ 72.18°

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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step-by-step explanation: