Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) How fast is the top of the ladder moving down the wall when its base is 7 feet. 15 feet, and 24 feet from die wall?(b) Consider die triangle formed by the side of the house, the ladder, and the ground. Find the rate at which die area of the triangle is changing when die base of the ladder is 7 feet from the wall.(c) Find the rate at which the angle between the ladder and the wall of the house is changing when die base of the ladder is 7 feet from the wall.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) How fast is the top of the ladder moving down the wall when its base is 7 feet. 15 feet, and 24 feet from die wall?
(b) Consider die triangle formed by the side of the house, the ladder, and the ground. Find the rate at which die area of the triangle is changing when die base of the ladder is 7 feet from the wall.
(c) Find the rate at which the angle between the ladder and the wall of the house is changing when die base of the ladder is 7 feet from the wall.
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