A student uses the equation tangent theta = StartFraction s squared Over 49 EndFraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline Theta, where sine theta = one-half. To solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

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Answer:

The first option, 5.3

Step-by-step explanation:

Egde '21

The approximate value of s, the speed of the car in feet per second is 5.32 ft/s

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

tan(θ) = s² / 49

Also:

sinθ = 1/2

θ = sin⁻¹ (0.5) = 30⁰

tan(30) = s² / 49

s = 5.32 ft/s

The approximate value of s, the speed of the car in feet per second is 5.32 ft/s

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