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How high can a ladder safely reach?Would a 51-foot ladder actually be long enough to climb a 50-foot wall?1. OSHA is an agency responsible for workplace safety, read its rule and sketch a diagram that shows the proper relationship between the ladder, wall and ground2. Calculate the angle that the ladder makes with the ground using a trigonometric ratio.3. If a ladder is x feet long, how high up a wall can it safely reach?4. Would a 51-foot ladder be long enough to climb a 50-foot wall? Sketch a graph and find your answer using a trigonometric ratio. 5. If you wanted to safely climb a 50-foot wall, what’s the shortest ladder you’d be willing to use? Explain.6. If you were 1 foot shorter, could you use a ladder that’s 1 foot taller? Explain |
Answer» Ladder is inclined at an angle of around 75 deg for Safe climbingStep-by-step explanation: If you wanted to safely climb a 50-foot wall, Ladder angle should be around 75 deg ( there is a rule for every 4 ft to climb ladder should be 1 ft away from wall) SIN 75° = Height you WANT to climb/Height of Ladder => Height of Ladder = Height you want to climb/Sin 75° => Height of Ladder = 50/0.966 => Height of Ladder = 51.7 ft Hence 51 ft Ladder would not be enough 52 ft longer ladder will be prefeered for safe climbing if you are 1 foot Shorter than using a ladder that's 1 foot taller as 1 ft ladder height = 0.996 ft wall height and u r 1 ft shorter hence SLIGHTLY lesser so better to use more than 1 ft longer ladder Learn more: A ladder LEANING against a wall inclined at an angle a to the ... ladder |
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