A ladder reahces a height of 16 feet on a wall. If the bottom of the ladder is place 4 feet from the wall, what is the slope of ladder as a positive number?
2006-11-28 22:50:18 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
A ladder against a wall makes a right triangle (one 90 degree angle).
The slope will be the angle whose tangent is the opposite side (16 feet) divided by the ajacent side (4 feet):
tan(angle) = 16/4 = 4
angle = arctan(4)
angle (slope) = 75.964 degrees
Hope this helps!
2006-11-28 22:54:13 · answer #1 · answered by cfpops 5 · 0⤊ 0⤋
the ladder forms with the wall a rectangular triangle ABC.
AB = height BC distance from the bottom of the leader to the wall
The slope of the ladder is given by tg (slope) = AB/BC = 16/4 =4
this correspons to a slope of 76°
2006-11-28 23:05:28 · answer #2 · answered by maussy 7 · 0⤊ 0⤋
slope = y/x= 16/4 = 4
2006-11-29 00:19:09 · answer #3 · answered by SAREK 3 · 0⤊ 0⤋
slope=tan(angle)=16/4=4. Its the slope
2006-11-28 22:55:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
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2016-12-13 16:35:35 · answer #5 · answered by ? 4 · 0⤊ 0⤋
the wall and the ladder and the floor forms a right angled triangle
slope= tanΘ
tanΘ = opposite/adj.
tanΘ=16/4
=4
2006-11-28 23:04:40 · answer #6 · answered by shehab6003 1 · 0⤊ 0⤋