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A ladder 5m long against a vertical wall 2m highfind the angle that makes with horizontal and vertical?
Wiki User
∙ 13y ago
Use trigonometry and the sine ratio:
sin = opp/hyp
sin = 2/5
sin-1(2/5) = 23.57817848 or 23.6 degrees to 1 dp
Angle with the horizontal = 23.6 degrees
Angle with the vertical wall = 66.4 degrees
Wiki User
∙ 13y ago
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A 10 foot ladder is leaning against a vertical wall the base of the ladder is 3 feet from the wall how high is the point where the ladder touches the wall?
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A ladder long rests against a vertical wall If the top of the ladder slides down at a rate of how fast is the bottom of the ladder sliding away when the bottom of the ladder is away from the wall?
If h is vertical height, b=horizontal distance from wall to bottom of ladder and l=lenght of ladder,we can say lsquared = hsquared + b squared. Now differentiate w.r.t. time t. 2l*dl/dt= 2h* dh/dt + 2b*db/dt =0 However this solution doesn't give exactly the same answer when one solves the problem geometrically or using simple pythagorus. For example ,if l=20m and b=12 m and h=16m and db/dt is 2m/s, I calculate dh/dt as !.5 m/s using calculus but 1.717 m/s using geometry or straight Pythagorus. Where is the fallasy inthe method using calculus? Ray Bevan
Can you give some mathematical problem relating to trigonometry?
You want to clean some leaves out of a gutter on your roof. The gutter is 8m above the ground. You want the top of the ladder to rest against the wall no more than 50cm below the gutter. You don't want the ladder to make an angle any steeper than 80 degrees from the horizontal. What is the shortest ladder you coud use?
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4
