Question

A rocket is fired from the ground at an angle of 1.12 radians. Suppose the rocket has traveled 440 yards since it was launched. Draw a diagram and label the values that you know.How many yards has the rocket traveled horizontally from where it was launched?____ yards   What is the rocket's height above the ground? ____yards

Answer 1

• Horizontal distance it traveled: ,191.7 yards

,

• Height above ground: ,396 yards

Step-by-step explanation

Diagram:

The height, the horizontal distance and the distance traveled form a right triangle.

Since we know the angle, we can find both x and y. The distance traveled is the hypotenuse of the triangle, y is the opposite side to the known angle and x is the adjacent side:

`\sin (1.12)=(y)/(440)\Rightarrow y=440\cdot\sin (1.12)=440\cdot0.9=396`
`\cos (1.12)=(x)/(440)\Rightarrow x=440\cdot\cos (1.12)=191.7`