Download MATH 1330

MATH 1330
Test 4 Review
A right triangle has one leg measuring 6 inches
and a hypotenuse measuring 12 inches.
Determine the measures of the acute angles.
A 25 foot ladder makes an angle of 60o to the
ground. How far away is the ladder from the base
of the building?
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?
In Triangle ABC, A = 30o, B = 45o, a = 12 in,
determine the measure of side b.
In Triangle ABC, A = 135o, a = 12 2 in, b = 12 in.
Determine all possible measures of angle B.
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)
An isosceles triangle has a base angles of 15o and
legs measuring 7 inches. Determine its area.
Determine the area of triangle ABC illustrated
below:
A
Triangle ADB is equilateral.
8
C
10
D
B
Find the equation of a parabola with a focus
at (4, -3) and a directrix of x = -2.
A conic section has an eccentricity of e = 2/3 and
vertices located at (4, 4) and (4, -8). Determine
the equation.
A hyperbola has asymptotes of y – 2 = ±2(x – 2),
and one focus at (5, 2). Determine its equation.
Determine the intersection points of the following
graphs:
x2 + 3y2 = 17
x2 – y 2 = 1
2
4x +
8x –
2
9y +
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.
Popper 19:
Select Answer Choice A from Question 1-5