4. A rectangular piece of land is 619.7 feet by 868.4 feet. Find the acute angle

Question

4. A rectangular piece of land is 619.7 feet by 868.4 feet. Find the acute angle made by the diagonal of the rectangle and the longer side of the rectangle.

5. A high-wire artist ascends to a platform by walking 205 feet on an inclined wire that makes and angle of 35° with the floor. How far above the ground is the platform?

6. A transmitter tower is supported by guy wires that run from the tower's top to the gournd. Each wire makes an angle of 45° with the ground and is 80 feet long. How far from the base of the tower is each wire anchored?

Explanation / Answer

4. diagonal = sqrt( length^2 +width^2) = sqrt619.7^2+ 868.4^2) = 1066.84

Acute angle between diagonal and longer side:

cosx = diagonal/longer side = 868.4/ 1066.84

x = 35.5 deg

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