A kite is flying at a height of 50 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's height?

Practice Questions

1 question

25 meters
30 meters
35 meters
40 meters

Questions & Step-by-step Solutions

1 item

Q: A kite is flying at a height of 50 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's height?

Solution: Distance = height / tan(angle) = 50 / √3 = 50 / 1.732 = 28.87 meters.

Steps: 10

Step 1: Understand that the height of the kite is 50 meters.
Step 2: Know that the angle of elevation from the ground to the kite is 60 degrees.
Step 3: Recognize that we can use the tangent function to find the distance from the point on the ground to the base of the kite's height.
Step 4: Recall the formula for tangent: tan(angle) = opposite / adjacent.
Step 5: In this case, the 'opposite' side is the height of the kite (50 meters) and the 'adjacent' side is the distance we want to find.
Step 6: Rearrange the formula to find the adjacent side: adjacent = opposite / tan(angle).
Step 7: Substitute the values into the formula: adjacent = 50 / tan(60 degrees).
Step 8: Calculate tan(60 degrees), which is √3 (approximately 1.732).
Step 9: Now substitute this value into the formula: adjacent = 50 / √3.
Step 10: Perform the division: 50 / 1.732 = approximately 28.87 meters.

A kite is flying at a height of 50 meters. If the angle of elevation from a point on the ground to the kite is 60 degrees, how far is the point from the base of the kite's height?

Practice Questions

Questions & Step-by-step Solutions

Related Questions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?