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3 lines Line 1: cap A tree standing vertically on level ground casts a. 72 foot long shadow period Line 2: If the angle of elevation from the end of the shadow to the top of the tree is Line 3: 34.6 degrees comma find the height of the tree to the nearest foot period

Sagot :

The height of the tree is 50 feet.

We have given,

cap A tree standing vertically on level ground casts a. 72feet.

We solve this by using trigonometry, the height of the tree to the nearest foot is 50 feets

What is the tan ratio?

[tex]tan\theta = opposite / Adjacent[/tex]

Opposite = height, h

Adjacent, = 140 feets

Angle, θ = 19.8°

[tex]tan(19.8) = h / 140[/tex]

Cross multiply

[tex]h = 140 \times tan(19.8)[/tex]

h = 50.403 feets

Height, h = 50 feets (nearest foot)

Therefore, the height of the tree is 50 feets

To learn more about the trigonometric ratio visit:

https://brainly.com/question/24349828

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