sergeantbillybill sergeantbillybill
  • 15-01-2021
  • Mathematics
contestada

A 6.2m tree casts a shadow across the playground. If the angle of elevation is 43 degrees, the length of the shadow is

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SkiffMackinaw SkiffMackinaw
  • 15-01-2021

Answer:

[tex]6.6\:\mathrm{m}[/tex]

Step-by-step explanation:

Using trigonometry, we can apply basic trig rules for a right triangle. Since the tree is perpendicular with the ground, it forms a [tex]90^{\circ}[/tex] with the ground.

Therefore,

[tex]\tan 43^{\circ}=\frac{6.2}{x},\\x=\frac{6.2}{\tan43^{\circ}}\approx \fbox{$6.6\:\mathrm{m}$}[/tex].

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