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A pool player located at X wants to shoot the white ball off the top cushion and hit the red ball dead center. He knows from physics that the white ball will come off a cushion at the same angle as it hits a cushion. Where on the top cushion should he hit the white ball?

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say 鈥淣o triangle.鈥�

$A=50,B=30,a=1$

True or False In a right triangle, if we know the two acute angles, we can solve the triangle.

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

$a=4,T=\frac{蟺}{2}seconds$

Find the area of each triangle. Round answers to two decimal places

Sketch the graph of each of the following functions:

$\text{(a)}y=x$

$$\begin{gathered} \text{(b)}y=x^2 \\ \text{(c)}y=\sqrt{x} \\ \text{(d)}y=x^3 \\ \text{(e)}y=e^x \\ \text{(f)}y=\ln x \\ \text{(g)}y=\sin x \\ \text{(h)}y=\cos x \\ \text{(i)}y=\tan x \end{gathered}$$

In Problems 6鈥�8, solve each triangle.

$a=8,b=4,C=70掳$

A special case of the Law of Cosines is the Pythagorean theorem.

Triangles for which two sides and the angle opposite one of them are known (SSA) are referred to as the _________ _____.

One World Trade Center One World Trade Center (1WTC) is to be the centerpiece of the rebuilding of the World Trade Center in New York City. The tower will be 1368 feet tall (not including a broadcast antenna). The angle of elevation from the base of an office building to the top of the tower is 34掳. The angle of elevation from the helipad on the roof of the office building to the top of the tower is 20掳.

(a) How far away is the office building from 1WTC? Assume the side of the tower is vertical. Round to the nearest foot.

(b) How tall is the office building? Round to the nearest foot.