Download CHAPTER 7 The shadow of a 6-foot man is 8 feet. At the same time

CHAPTER 7
1. The shadow of a 6-foot man is 8 feet. At the
same time, how long a shadow would a 90-foot
monument cast?
2. △ABC △△JKL , JL=16, JK=x, AC=5x, and AB=125,
Find AC.
3. What is BY?
4. What is KJ?
5. The shadow of a 5-foot boy is 18 feet at the
same time the shadow of a building is 99 feet.
How tall is the building?
5. A right triangle has sides measuring 10, 24, and
26 cm. What is the measure of the other two
angles to the nearest degree?
6. What is tan25° to the nearest hundredth?
7. A skateboard ramp is 3.5 feet high and 6 feet
long along the horizontal. To the nearest
degree, what is the measure of the angle that
the ramp makes with a horizontal line?
8. Find measure angle D to the nearest degree.
9. Find the perimeter and area of the triangle.
Round to the nearest tenth.
6. Polygon K(2,3), L(4,5), M(3,7) was mapped to
polygon N(10, -2.5), O(15, 2.5), P(12.5, 7.5).
First by the translation: ( x, y) ® ( x + 2, y- 4 ) .
And then by which dilation?
7. Which similarity statement
proves the two triangles
similar?
CHAPTER 9
1. Rotate the triangle R(3,1), S(1,3), T(4,5) 180°
about the origin.
Use the figure for exercises 2 and 3
CHAPTER 8
1. One angle of a right triangle measures 27.4°.
The adjacent leg measures 7 yards. To the
nearest tent of a yard, what is the measure of
the hypotenuse?
2. A helicopter pilot sights a landmark at an angle
of depression of 22°. The altitude of the
helicopter is 1450 feet. To the nearest foot,
what is the horizontal distance from the
helicopter to the landmark?
3. An altitude divides the hypotenuse of a right
triangle into two segments measuring 3.6 and
6.4 centimeters. What is the length of the
altitude?
4.
The coordinates of the vertices of △JKL
are J(-1,4), K(2,2), and L(-4,0). Find the
measure of the smallest angle of the triangle.
Round to the nearest degree.
2. Quadrilateral QRST is translated along the
vector -4,5 and then reflected across the
y-axis. What are the coordinates of the final
image of point T?
3. QRST undergoes a dilation with a scale factor
-0.5 centered at the origin. Find the coordinates
of point S’?
4. Determine the coordinates of the image when
the point P(-6,-2) is reflected across the line
x=-4
5. The point (2,-3) is reflected across the line y=1
and then rotated 90° about the origin.
Determine the final coordinates of the image
after the composition of transformations.
CHAPTER 11
1. Then length, width, and height of a rectangular
prism are 10 inches, 7 inches, and 4 inches,
respectively. What is its volume?
CHAPTER 10
1. Find the area of the parallelogram
2. What is the volume of a square pyramid if each
side of the base is 18 meters and the height is
12 meters?
2. One angle of a rhombus measures 60°. Each
side measures 28 inches. What is the area to
the nearest square inch?
3. Two circular pools in a public park are enclosed
by guardrails along their edges. The surface
area of one pool is 16 times greater than that of
the other. How much greater is the diameter of
the larger pool?
4. To the largest tenth, what is the area of the
polygon whose vertices are (4,5), (8,-1), (-3,-3),
and (-3,1)?
5. Find the perimeter of the polygon with vertices
A(-2,3), B(1,5), C(1,0), and D(-2,-2)
6. Find the area of a circle centered at (1,1) that
passes through the point (-2,6). Round your
answer to the nearest tenth.
7. Find the area of the polygon with vertices
D(4,1), E(2,4), F(-3,2), and G(0,-4)
8. What is the area of the shaded region?
3. To the nearest tenth of a centimeter, how tall is
a cylinder with a radius of 6.4 cm and volume of
1119.5 cm3?
4. An aquarium is 0.5 feet wide, 1.5 feet tall, and 2
feet long. The bottom is covered with gravel to
a height of 3 inches. How many gallons of water
are needed to fill the aquarium? (use 1
gallon » 0.134 ft3.) Ignore any water that might
seep into the layer of gravel. Round to the
nearest tenth.
5. To the nearest cubic foot, what is the volume of
the composite figure if both the
height and the diameter of the
cylinder are 1.5 feet?
CHAPTER 12
1. To the nearest tenth, what is the
area of a sector of a circle of radius of 9 meters
if the central angle is 50°?
Refer to the figure for Exercises 2
and 3
2.
and
What is mÐPRM ?
3. PR=6, NR=15, and QR=14. To the nearest tenth,
what is MR?
9. What is the area, to the nearest tenth of a
square centimeter, of a regular nonagon
(9-sides) whose perimeter is 153 cm?
10. The area of a polygon is 450 square units, and
one of its sides measures 36 units. The area of
a similar polygon is 300 square units. What is
the length of the side corresponding to the
36-unit side in the other polygon?
4. The equation for a circle is
( x - 4 )2 + ( y+ 3)2 = 25 . What are the
coordinates of the circles center? What is the
radius?