krizzle168
25.01.2021 •
Mathematics
Enter the number 86.3865 betow exactly ( no rounding )
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Ответ:
The distance between the ground and the kite is 58 feet
Step-by-step explanation:
Trigonometric Ratios
The situation can be represented as shown in the image below.
The kite is flying at a certain height H we need to find. We know the string is L= 80 feet long forming an angle θ = 46°. The right triangle shown in the image will help us to apply the required trigonometric ratio to find the value of H.
Since H is the opposite side to the angle θ, and we know the hypotenuse of the triangle, we apply the sine of θ:
Solving for H:
Substituting the given values:
Rounding to the nearest foot:
The distance between the ground and the kite is 58 feet