A kite is flying at a height of 100 m. If the angle of elevation from a point on

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Question: A kite is flying at a height of 100 m. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?

Options:

100 m
200 m
300 m
400 m

Correct Answer: 200 m

Solution:

Using tan(30°) = height/distance, we have 1/√3 = 100/distance. Therefore, distance = 100√3 ≈ 173.2 m.

A kite is flying at a height of 100 m. If the angle of elevation from a point on

Practice Questions

A kite is flying at a height of 100 m. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?

100 m
200 m
300 m
400 m

Questions & Step-by-Step Solutions

A kite is flying at a height of 100 m. If the angle of elevation from a point on the ground to the kite is 30 degrees, how far is the point from the base of the kite?

Correct Answer: 173.2 m

Step 1: Understand that the height of the kite is 100 meters.
Step 2: Know that the angle of elevation from the ground to the kite is 30 degrees.
Step 3: Use the tangent function, which relates the angle of elevation to the height and distance from the base of the kite.
Step 4: Write the formula: tan(angle) = height / distance.
Step 5: Substitute the values into the formula: tan(30°) = 100 / distance.
Step 6: Recall that tan(30°) is equal to 1/√3.
Step 7: Set up the equation: 1/√3 = 100 / distance.
Step 8: Rearrange the equation to find distance: distance = 100 * √3.
Step 9: Calculate the distance: distance ≈ 100 * 1.732 = 173.2 meters.

Trigonometry – The problem involves using the tangent function to relate the height of the kite to the distance from the point on the ground.
Angle of Elevation – Understanding the concept of angle of elevation is crucial for visualizing the problem and applying trigonometric ratios.

A kite is flying at a height of 100 m. If the angle of elevation from a point on

What’s inside this PDF?

A kite is flying at a height of 100 m. If the angle of elevation from a point on

Practice Questions

Questions & Step-by-Step Solutions

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