In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find the length of the hypotenuse to the nearest tenth.

Mathematics Question

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1. Find the Domain and Range for .

Dom:                                                                       Range:

2. Simplify

3. The total amount paid for a car is . Set up an equation that includes the total amount paid for the car, the original price (without tax) of the car, , and a   Then solve the equation to find the original price of the car before tax .

4. (a) What is the exact value of ? [Keep answer in radical form]

(b) If , find two values for angle .

5. A waterslide is long . The top of the slide is  above the ground. Find the angle of elevation of the waterslide.

6. Solve for in terms of  if

7. In triangle ABC, the lengths of the sides in feet are . Find angle C.

8. Find the equation of the line through the points and .

9. For the lines with the following equations and , is the point on both lines? Explain your answer both graphically and algebraically.

10. In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find the length of the hypotenuse to the nearest tenth.