A kite is flying at a height of 60 meters. If the angle of elevation from a poin
Practice Questions
Q1
A kite is flying at a height of 60 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?
30 meters
40 meters
60 meters
70 meters
Questions & Step-by-Step Solutions
A kite is flying at a height of 60 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?
Correct Answer: 60 meters
Step 1: Understand that the height of the kite is 60 meters.
Step 2: Know that the angle of elevation from the ground to the kite is 45 degrees.
Step 3: Recall that the tangent of an angle in a right triangle is the opposite side (height) divided by the adjacent side (distance from the base).
Step 4: For a 45-degree angle, the tangent value is 1 (tan(45) = 1).
Step 5: Use the formula: Distance = height / tan(angle).
Step 7: Calculate the distance: Distance = 60 meters.
Trigonometry – The problem involves using the tangent function to relate the height of the kite and the angle of elevation to find the horizontal distance.
Right Triangle Properties – Understanding the relationship between the sides of a right triangle formed by the height of the kite and the distance from the point on the ground.
