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A baseball leaves the bat an an angle theta with the horizontal and an inital velocity of v = 100 feet per second. The ball is caught by an outfielder 300 feet from home place. Find theta (in degrees) if the distance (d) from the batter to the outfieldre as measures along the ground is given by d=(1)/(32)v2sin(2\theta )

Question

A baseball leaves the bat an an angle theta with the horizontal and an inital velocity of v = 100 feet per second. The ball is caught by an outfielder 300 feet from home place. Find theta (in degrees) if the distance (d) from the batter to the outfieldre as measures along the ground is given by d=(1)/(32)v2sin(2\theta ) 

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Step 1

According to the question, the baseball leaves the bat at an angle theta with the horizontal at an initial velocity of v=100 feet per second. The ball is caught by an outfielder at a distance (d)=300 feet from the home place. The expression of d is given as: 

 

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Step 2

Solving equation (1), theta can be evaluated. 

The equation (1), using the given data, can be represented as:

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Step 3

From equation (2), the value of theta can be evaluated...

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Tagged in

Math

Trigonometry

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