Questions: Calculate the height of the tree.

Calculate the height of the tree.
Transcript text: Calculate the height of the tree.
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Solution

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Solution Steps

Step 1: Identify the knowns and unknowns.

We know the angle of elevation (30°) and the adjacent side (90 ft). We want to find the opposite side, which is the tree's height.

Step 2: Choose the appropriate trigonometric function.

Since we have the adjacent side and want to find the opposite side, we use the tangent function: tan(angle) = opposite/adjacent

Step 3: Set up and solve the equation.

tan(30°) = height/90 ft height = 90 ft * tan(30°) height ≈ 90 ft * 0.577 height ≈ 51.93 ft

Final Answer

The height of the tree is approximately 51.93 feet.

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