Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head? (Use 3 significant figures)
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Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head? (Use 3 significant figures)
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Answer:
Problem 1:
Given:
Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite
measures 70°
To find:
How high is the kite above Brian's head?
Solution:
Let's consider the situation in the form of a right angle triangle where we have,
Hypotenuse = 65 m
Angle of elevation, 0 = 70°
Using the trigonometric ratio of a triangle, we get
sin 0 Perpendicular Hypotenuse
→ sin 70° Perpendicular 65
perpendicular = 65sin 70
perpendicular = 61.08 m
Thus, the kite is flying 61.08 m above Brian's head.