Math 2 Honors
Lesson 6-5 Practice
Name_________________________
1. A surveyor with transit at point A sights points B and C on either side of Asylum Pond. She finds
the measure of the angle between the sightings to be 72.
a. Find the distance BC across the pond
to the nearest thousandth of a meter.
b. Find mB and mC.
2. The ninth hole at Duffy’s Golf Club is 325 yards down a straight fairway. In his first round of golf
for the season, Andy tees off and hooks the ball 20 to the left of the line from the tee to the hole.
The ball stops 205 yards from the tee at point P, as shown in the figure.
a. How far is his ball from the hole (marked by the flag)?
b. To decide which club to use on his next shot, Andy knows he hits an average of 135-145
yards with a five iron; with a four iron, he hits 145-155 yards; and with a three iron, he hits
155-165 yards. Which of these clubs would be his best choice?
3. A field is in the shape of quadrilateral ABCD as shown.
a. Find the length CD of its fourth side.
b. Find the measures of the remaining angles of the field.
c. Find the area of the field.
4. Find the lengths of the diagonal braces of kite ABCD.
5. Models of four problem situations are shown below. For each case, describe the trigonometric
method that you would use to determine the indicated length or angle measure. Would you expect
one, two, or no solutions? You do not have to perform the calculations.
a.
b.
c.
d.
6. Make a sketch of the triangle with vertices at A( 2,  1), B(0, 3), and C (8,  1).
a. Verify that ABC is a right triangle.
b. Find the perimeter of the triangle.
c. Find the coordinates of the midpoint of the hypotenuse of ABC. Does the line segment that
joins vertex B to the midpoint of the hypotenuse divide ABC into two triangles with equal
areas? Explain your reasoning.
7. Write each of the following in equivalent factored form.
a. 12 x 2  2 x
b. x 2  12 x  36
c.
x 2  81
d. 2 x 2  20 x  48
e.
x 2  2 x  35
f.
2 x 2  11x  21