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How do I solve this problem?Also Switch pi/6 into degrees 180/6.

How do I solve this problem?Also Switch pi/6 into degrees 180/6.-example-1
User Arunmu
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Answer

In degrees,

θ = 36.87°

In radians,

θ = 0.205π radians

Step-by-step explanation

We are given the range as 300 feet.

Initial velocity = v₀ = 100 feet per second

We are told that the range is related to the initial velocity and the angle of batting to the horizontal, θ, through the expression

r = (v₀² Sin 2θ)/32

We can then insert the given parameters

r = (v₀² Sin 2θ)/32

300 = (100² Sin 2θ)/32

We can rewrite this as

10000 Sin 2θ = (300) (32)

Sin 2θ = (9600/10000)

Sin 2θ = 0.96

2θ = Sin⁻¹ (0.96)

2θ = 73.74°

Divide both sides by 2

(2θ/2) = (73.74°/2)

θ = 36.87°

In radians,

θ = 0.205π radians

Hope this Helps!!!

User Shanay
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