1. MATH 1330
Test 4 Review

2. A right triangle has one leg measuring 6 inches and a hypotenuse measuring 12 inches. Determine the measures of the acute angles.

3. A 25 foot ladder makes an angle of 60o to the ground
A 25 foot ladder makes an angle of 60o to the ground. How far away is the ladder from the base of the building?

4. A doctor is setting a broken arm by anchoring a support equal distances from the elbow along the forearm and bicep at angles of 45o. How long is the support?

5. In Triangle ABC, A = 30o, B = 45o, a = 12 in, determine the measure of side b.

6. In Triangle ABC, A = 135o, a = 12 2 in, b = 12 in
In Triangle ABC, A = 135o, a = in, b = 12 in. Determine all possible measures of angle B.

7. A triangle has sides measuring 4 inches, 7 inches, and 10 inches
A triangle has sides measuring 4 inches, 7 inches, and 10 inches. Determine the measure of the smallest angle. (Leave answer in terms of sine or cosine)

8. An isosceles triangle has a base angles of 15o and legs measuring 7 inches. Determine its area.

9. Determine the area of triangle ABC illustrated below:
Triangle ADB is equilateral. 8 B C 10 D

10. Find the equation of a parabola with a focus at (4, -3) and a directrix of x = -2.

11. A conic section has an eccentricity of e = 2/3 and vertices located at (4, 4) and (4, -8). Determine the equation.

12. A hyperbola has asymptotes of y – 2 = ±2(x – 2), and one focus at (5, 2). Determine its equation.

13. Determine the intersection points of the following graphs: x2 + 3y2 = 17 x2 – y2 = 1

14. 4x2 + 8x – 9y2 + 36y – 68 = 0 Determine the type of conic.
Rewrite in standard form.
Find the center, vertices, foci, eccentricity, length of major and minor axis or transverse and conjugate axis, and the equations of asymptotes (if they exist).
Graph the conic.

15. 4x2 + 8x – 9y2 + 36y – 68 = 0