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Alycia Zemlak

Feb 20, 2025

determine 2 possible angles?

http://img703.imageshack.us/i/fireman.png/The fireman wishes to direct the flow of water from his hose to the fire at B. Determine two possible angles theta1 and theta2 at which this can be done.Water flows from the hose at vA = 80 ft/s.this is what i have so farhorizontals = s_0 + v_0 t35 = 0 + 80 cos (theta)verticals= s_0 + v_0 t + 1/2 a_c t^2-20 = 0 - 80 sin (theta) t + 1/2 (-32.2) t^2thus20 = 80 sin theta (0.4375/cos (theta)) t + 16.1(0.1914/cos^2(theta))i dont know what to do from here on, how do i get theta1 and theta 2?
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Aim upward:-20 = 80sin(θ) - 16t^2 [I]80cos(θ)t = 35t = (35/80)sec(θ)-20 = 80sin(θ) - 3.06sec^2(θ)3.06sec^2(θ) - 80sin(θ) - 20 = 0 You can use different approaches including Newton's method:Aim downward:-20 = -80sin(θ) - 16t^2 [II]80cos(θ)t = 35t = (35/80)sec(θ)-20 = -80sin(θ) - 3.06sec^2(θ)3.06sec^2(θ) + 80sin(θ) - 20 = 0 values are +/- 12.15 degrees... Show More
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