A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line
, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet
1 answer:
Answer:
The height of the kite above the ground is 102 .44 feet
Step-by-step explanation:
To find the height of the kite above the ground, we will follow the steps below:
let h represent the height of the kite above the ground
we will use trigonometric ratio to solve
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ=adjacent / hypotenuse
tanФ=opposite / adjacent
from the diagram below
opposite = h
hypotenuse = 130 feet
Ф = 52°
The best trig ratio to use is sin
sin Ф = opposite / hypotenuse
sin52° = h / 130
cross-multiply
h = 130 sin 52°
h=102.44°
The height of the kite above the ground is 102 .44 feet
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