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Problem 427

At a point on the ground 40 feet from the foot of a tree, the angle of elevation to the top of the tree is \(42^{\circ}\). Find the height of the tree to the nearest foot.

Expert verified

The height of the tree is approximately 36 feet.

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Chapter 22

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.

Chapter 22

A plane took off from a field and rose at an angle of \(8^{\circ}\) with the horizontal ground. Find, to the nearest ten feet, the horizontal distance the plane had covered when it had flown 2,000 feet in air.

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.)

Chapter 22

The diagonals of a rhombus are 10 and \(24 .\) Find, to the nearest degree, the sum of the angles of the rhombus.

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.

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