Question

A student uses the equation mc013-1.jpg to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline mc013-2.jpg, where mc013-3.jpg. To solve the problem, the student used the given value of mc013-4.jpg to find the value of mc013-5.jpg and then substituted the value of mc013-6.jpg in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

Answer 1

the correct question is
A student uses the equation tanθ=s²/49 to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline θ, where sinθ=½. To solve the problem, the student used the given value of sinθ to find the value of tanθ and then substituted the value of tanθ in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

we know that

step 1
find the value of θ
sinθ=½. 
θ=arc sin (1/2)--------> θ=30°

step 2
find the value of tan θ
tan θ=tan 30°
tan 30°=sin 30°/cos 30°
sin 30=1/2
cos 30=√3/2
so
tan 30=(1/2)/(√3/2)-----> √3/3

step 3
solve for s
tanθ=s²/49
√3/3=s²/49------> 49*√3=3*s²------> s²=[49*√3]/3----> s=√{[49*√3]/3}
s=5.3 ft/sec

the answer is
5.3 ft/sec

Answer 2

Answer:

5.3..............

Step-by-step explanation: