Question

A rocket is fired from the ground at an angle of 1.02 radians. Suppose the rocket has traveled 455 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

Answer 1

To find the horizontal distance traveled by the rocket launched at an angle of 1.02 radians, we can use the formula Horizontal Distance = Total Distance x cos(angle). Solving for the horizontal distance gives us approximately 452.7 yards.

Step-by-step explanation:

To find the horizontal distance traveled by the rocket, we need to use the given angle and the total distance traveled. Let's assume the initial vertical velocity of the rocket is zero because it was fired from the ground. The horizontal distance can be calculated using the formula:

Horizontal Distance = Total Distance × cos(angle)

Plugging in the values, we get:

Horizontal Distance = 455 yards × cos(1.02 radians)

Solving for the horizontal distance, we find that the rocket has traveled approximately 452.7 yards horizontally from where it was launched.