kaoriaudrineallen kaoriaudrineallen
  • 02-06-2022
  • Mathematics
contestada

A tree casts a shadow of 20 meters when the angle of elevation of the sun is 24°
Find the height of the tree to the nearest meter.

Respuesta :

batolisis
batolisis batolisis
  • 08-06-2022

The height of the tree is 9 meters

What is angle of elevation?

This is the angle the line of sight makes with the horizontal.

Analysis:

The line of sight , the shadow length and height of tree form right angled triangle.

Let the height of tree be h

so that, tan 24 = h/20

h = 20 tan 24

h = 20(0.445) = 8.9m = 9m

In conclusion, the height of the tree is 9m.

Learn more about angle of elevation: brainly.com/question/88158

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