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Luden [163]
3 years ago
11

Need help with Trigonometry!

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

h = 109.9 in

Step-by-step explanation:

The above question can be solved using trigonometric ratio formula,

tan θ = opposite/adjacent

tan θ = tan 70° ≈ 2.7475

opposite = height of lamppost = h in

Adjacent = 40 in

Thus,

tan 70 = \frac{h}{40}

2.7475 = \frac{h}{40}

Multiply both sides by 40 to solve for h

40*2.7475 = h

h = 109.9 inches

The height of the lamppost = h = 109.9 inches (to nearest tenth)

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This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.

First, let's solve for the rectangle because it's easier.

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Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.

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</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.

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