A kite is flying at a height of 40 meters. If the angle of elevation from a poin

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What’s inside this PDF?

Question: A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?

Options:

40 meters
20√2 meters
30 meters
50 meters

Correct Answer: 20√2 meters

Solution:

Using tan(45°) = height / distance, we have distance = height / tan(45°) = 40 / 1 = 40 meters.

A kite is flying at a height of 40 meters. If the angle of elevation from a poin

Practice Questions

A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?

40 meters
20√2 meters
30 meters
50 meters

Questions & Step-by-Step Solutions

A kite is flying at a height of 40 meters. If the angle of elevation from a point on the ground to the kite is 45 degrees, how far is the point from the base of the kite?

Step 1: Understand that the height of the kite is 40 meters.
Step 2: Know that the angle of elevation from the ground to the kite is 45 degrees.
Step 3: Recall the tangent function in trigonometry, which relates the angle to the opposite side (height) and the adjacent side (distance).
Step 4: Write the formula: tan(angle) = height / distance.
Step 5: Substitute the known values into the formula: tan(45°) = height (40 meters) / distance.
Step 6: Know that tan(45°) equals 1.
Step 7: Set up the equation: 1 = 40 / distance.
Step 8: Rearrange the equation to find distance: distance = height / tan(45°).
Step 9: Substitute the height into the equation: distance = 40 / 1.
Step 10: Calculate the distance: distance = 40 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 scenario and applying trigonometric functions correctly.

A kite is flying at a height of 40 meters. If the angle of elevation from a poin

What’s inside this PDF?

A kite is flying at a height of 40 meters. If the angle of elevation from a poin

Practice Questions

Questions & Step-by-Step Solutions

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