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Problem 429

A ladder, which is leaning against a building, makes an angle of \(75^{\circ}\) with the ground. If the top of the ladder reaches a point which is 20 feet above the ground, find, to the nearest foot, the distance from the foot of the ladder to the base of the building.

Expert verified

The distance from the foot of the ladder to the base of the building is approximately \(5\) feet.

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Chapter 22

A ladder 25 feet long leans against a building and reaches a point \(23.5\) feet above the ground. Find, to the nearest degree, the angle which the ladder makes with the ground.

Chapter 22

A road is inclined \(8^{\circ}\) to the horizontal. Find, to the nearest hundred feet, the distance one must drive to increase one's altitude $1,000 \mathrm{ft}$.

Chapter 22

From the top of a lighthouse \(160 \mathrm{ft}\). above sea level, the angle of depression of a boat at sea is \(35^{\circ}\). Find, to the nearest foot, the distance from the boat to the foot of the lighthouse.

Chapter 22

A guy wire reaches from the top of a pole to a stake in the ground. The stake is 10 feet from the foot of the pole. The wire makes an angle of \(65^{\circ}\) with the ground. Find, to the nearest foot, the length of the wire.

Chapter 22

A boy who is flying a kite lets out 300 feet of string which makes an angle of \(38^{\circ}\) with the ground. Assuming that the string is perfectly taut and forms a straight line, how high above the ground is the kite? (Give the answer to the nearest foot.)

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