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Darya [45]
3 years ago
15

a tree casts a shadow that is 20 ft long. the angle of elevation of the sun is 29°. how tall is the tree?

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
You can use the trig ratios. Draw a diagram to see which one is appropriate. 
Tan would be used.
Tan29=x/20
20Tan29=x
Put this into your calculator and see what you get
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Ksivusya [100]

Answer:

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Step-by-step explanation:

Every inscribed right triangle has its hypotenuse as the same size of the Diameter. Assuming that, this is the case check the picture below.

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  1. Shaded Area = Area of the Circle- Area of the Triangle
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A_{circle}=\pi (6)^{2}=36\pi

  • Area of the Triangle:

Finding the Triangle base via the Pythagorean Theorem

a^2=b^2+c^2\\12^2=9^2+c^2\\144-81=c^2\\c=\sqrt{63}\\c=3\sqrt{7}\approx 7.94

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Finally,

Shaded Area = 36\pi -18\sqrt{7} cm^{2} \approx 65.48 cm^{2}

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