Answered

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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   

Sagot :

ANSWER

• Horizontal distance it traveled: ,191.7 yards

,

• Height above ground: ,396 yards

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:

[tex]\sin (1.12)=\frac{y}{440}\Rightarrow y=440\cdot\sin (1.12)=440\cdot0.9=396[/tex][tex]\cos (1.12)=\frac{x}{440}\Rightarrow x=440\cdot\cos (1.12)=191.7[/tex]

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