8. A road that rises 1 ft for every 100 ft traveled in the horizontal direction

Question

8. A road that rises 1 ft for every 100 ft traveled in the horizontal direction is said to have a 1% grade. If a road has a 6% grade. at what angle Is the road inclined above the horizontal? 9. A baseball diamond isa perfect square with sides of 90 ft In length: If we establish our coordinate system such that the positive x-axis goes from home plate to first base. and the positive y-axis goes from home plate to third base (as seen above), answer the following questions: a) What is the displacement vector for a player who hits a double? b) What about a triple? c) A home run? 10. A whale comes to the surface to breathe and then dives at an angle of 20.00 below the horizontal. If the whale continues in a straight line for 150 m. answer the following questions: a) How deep underwater Is the whale? b) How far has the whale traveled horizontally?

Explanation / Answer

8) tan(theta) = 6/100

theta = tan^-1(6/100)

= 3.43 degrees

9) what is double,triple and home run?

I dont know about base ball game.

10)
a)
From figure

sin(20) = ry/150

==> ry = 150*sin(20)

= 51.3 m

b) From figure

cos(20) = rx/150

==> rx = 150*cos(20)

= 140.95 m

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