Question

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radians. (That is, the rocket's path and the ground form an angle with a measure of 1.2 radians.)]
Required:
a. What is the slope of the rocket's path?
b. If the rocket has traveled 85 yards horizontally since it was launched, how high is the rocket above the ground? _____yards.
c. At some point in time, the rocket is 313 yards above the ground. How far has the rocket horizontally (since it was launched) at this point in time? _____yards

Answer 1

Answer:

a)$S=2.57$

b)$H=203.2yard$

c)$X=121.79yards$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=1.2=68.755^o$

a)

Generally the equation for Slope is mathematically given by

 $S=tan \theta$

 $S=tan 68.755$

 $S=2.57$

b)

Given the right Angle triangle with horizontal distance $x=85yard$

Generally the equation for Height traveled is mathematically given by

 $H=tan\theta*x$

 $H=2.57*85$

 $H=218.45$

 $H=203.2yard$

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

$X=\frac{313}{tan65.75}$

$X=\frac{313}{2.57}$

$X=121.79yards$