TaralynH710743 TaralynH710743
  • 25-10-2022
  • Mathematics
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in the figure below, when the sun angle of elevation is 50°, the tree casts a shadow 80 feet long which can be used to find the height of the tree?

in the figure below when the sun angle of elevation is 50 the tree casts a shadow 80 feet long which can be used to find the height of the tree class=

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SalihC657438 SalihC657438
  • 25-10-2022

We can use the tangent of 50º. The height is approximately 95.34 ft

1) We can trace a right triangle over that mark and calculate that height, using a trigonometric ratio.

2) As we have the adjacent leg to that 50º angle and the opposite leg, we can use the tangent of 50º to find that height out.

[tex]\begin{gathered} \tan (50)=\frac{x}{80} \\ x=80\cdot\tan (50) \\ x\approx\text{ 95.34} \end{gathered}[/tex]

3) Hence the answer is

We can use the tangent of 50º. The height is approximately 95.34 ft

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