The distance from the base of the telephone pole to Curtis is about 15 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the distance from the base of the telephone pole to Curtis, hence:
tan(51.4) = (24 - 5.2) / d
d = 15 feet
The distance from the base of the telephone pole to Curtis is about 15 feet.
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Answer:
10000π units²
Step-by-step explanation:
From the question given above, the following data were obtained:
Circumference (C) = 100π
Surface Area of sphere (SA) =?
Next, we shall determine the radius. This can be obtained as follow:
Circumference (C) = 100π
Radius (r) =?
C = 2πr
100π = 2πr
Divide both side by 2π
r = 100π / 2π
r = 50 units
Finally, we shall determine the surface area of the sphere. This can be obtained as follow:
Radius (r) = 50 units
Surface Area of sphere (SA) =?
SA = 4πr²
SA = 4 × π × 50²
SA = 4 × π × 2500
SA = 10000π units²
Therefore, the surface area of the sphere is 10000π units²
