Up on the Rooftop
Joe wants to replace the shingles on his roof. He will need a ladder to get onto the roof, but he isn’t sure how big of a ladder to buy. He knows the height of his house and he knows how far away from the house he wants the base of the ladder to be so that it will be sturdy as he climbs it. He draws the picture below to help him find the necessary height of the ladder. The ladder Joe buys needs to be at least how many feet high?
Frank needs to clean out his gutters and gets out his ladder to do so. Setting it against his house, he notices that it just reaches the edge created where the roof meets the siding. Using a tape measure, he finds that the ladder is 7 feet from the base of the house and he also knows that his ladder is 25 feet in height. He draws the following picture to help him find the height of his house. How many feet is it from the ground to the bottom edge of the roof?
Carly wants to paint her house a new color. She buys a 26 foot ladder. She also knows that it is 24 feet from the ground to the beginning of the roof where the ladder will have to rest. How far away from the house will she have to set the base of the ladder so that the top of the ladder rests at the bottom edge of the roof?
Up on the Rooftop
ANSWER Key
Joe wants to replace the shingles on his roof. He will need a ladder to get onto the roof, but he isn’t sure how big of a ladder to buy. He knows the height of his house and he knows how far away from the house he wants the base of the ladder to be so that it will be sturdy as he climbs it. He draws the picture below to help him find the necessary height of the ladder. The ladder Joe buys needs to be at least how many feet high? h = 19.3 feet
Frank needs to clean out his gutters and gets out his ladder to do so. Setting it against his house, he notices that it just reaches the edge created where the roof meets the siding. Using a tape measure, he finds that the ladder is 7 feet from the base of the house and he also knows that his ladder is 25 feet in height. He draws the following picture to help him find the height of his house. How many feet is it from the ground to the bottom edge of the roof? h = 24 feet
Carly wants to paint her house a new color. She buys a 26 foot ladder. She also knows that it is 24 feet from the ground to the beginning of the roof where the ladder will have to rest. How far away from the house will she have to set the base of the ladder so that the top of the ladder rests at the bottom edge of the roof? h = 10 feet