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Problem 55

Describe a strategy for solving an SAS triangle.

Problem 55

A wagon is pulled along level ground by exerting a force of 40 pounds on a handle that makes an angle of \(32^{\circ}\) with the horizontal. How much work is done pulling the wagon 100 feet? Round to the nearest foot-pound.

Problem 55

When the angle of elevation of the Sun is \(62^{\circ},\) a telephone pole that is tilted at an angle of \(8^{\circ}\) directly away from the Sun casts a shadow 20 feet long. Determine the length of the pole to the nearest tenth of a foot. (Figure can't copy)

Problem 55

Describe the test for symmetry with respect to the pole.

Problem 56

Convert each rectangular equation to a polar equation that expresses \(r\) in terms of \(\theta\). $$x^{2}+(y+3)^{2}=9$$

Problem 56

A wagon is pulled along level ground by exerting a force of 25 pounds on a handle that makes an angle of \(38^{\circ}\) with the horizontal. How much work is done pulling the wagon 100 feet? Round to the nearest foot-pound.

Problem 56

Describe a strategy for solving an SSS triangle.

Problem 56

A leaning wall is inclined \(6^{\circ}\) from the vertical. At a distance of 40 feet from the wall, the angle of elevation to the top is \(22^{\circ} .\) Find the height of the wall to the nearest tenth of a foot. (Figure can't copy)

Problem 56

In Exercises \(53-56,\) let $$\mathbf{u}=-2 \mathbf{i}+3 \mathbf{j}, \mathbf{v}=6 \mathbf{i}-\mathbf{j}, \mathbf{w}=-3 \mathbf{i}$$ Find each specified vector or scalar. $$\|\mathbf{v}+\mathbf{w}\|^{2}-\|\mathbf{v}-\mathbf{w}\|^{2}$$

Problem 56

Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. $$\left[2\left(\cos 40^{\circ}+i \sin 40^{\circ}\right)\right]^{3}$$

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