a) When does the top of the ladder reach the ground? b) Determine the velocity of the end of the ladder that is resting on the ground when it is 5 ft 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.
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22.
Two sides of a triangle are equal in length, and each increases at the constant rate es
2 in/min. The angle between these two sides increases at the constant rate of 1 ro
Determine the rate of change of the third side at the moment that the other two sidnin
each 10 inches long and their included angle has a measure of radians. [Hint: The L
17.
2
of Cosines may be useful.]
An observer stands 25 feet from the base of a 50 foot flagpole and watches a flag beine
lowered at a rate of 5 ft/sec. Determine the rate at which the angle of elevation (from the
observer) to the flag is changing at the instant that the flag is 25 feet above eye-level.
18.
A 13 foot ladder is leaning against a wall so that the foot of the ladder is 1 foot from
the wall. A gust of wind causes the ladder to begin sliding down the wall. The motion
of the top of the ladder as it slides down the wall is described by
19.
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where t is measured in seconds.
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a) When does the top of the ladder reach the ground?
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b) Determine the velocity of the end of the ladder that is resting on the ground wieh
5 ft from the wall.
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