The horizontal and vertical components of the velocity of an arrow shot into the air are 10 feet per second and 10 feet per second, respectively. Find the velocity of the arrow. (Round each answer to one decimal place.)

Question

anonymous · Answer

isosceles right triangle,
velocity is 10sqrt(2) ft/s at an angle of 45º of elevation

anonymous · Answer

I was able to use pythagorean theorem to find the velocity. I'm having trouble finding the elevation. How did you figure out the elevation? Is it because side a and side b equals 10 which makes it automatically a 45$$degree$$, 45 $$degree$$ angle?

anonymous · Answer

45 degree, 45 degree triangle? Not angle.

anonymous · Answer

right, the arctan of the vertical component over the horizontal component

anonymous · Answer

arctan(1)=45º

anonymous · Answer

this is just a special case because it is an isosceles right triangle, but for other cases with vertical component not equalling horizontal component, use the arctan

anonymous · Answer

Oh I see. I did not look at it that way but thank you so much!