Exam 10: Probability and Counting Techniques

A tree which is 12 feet tall casts a shadow of 84 feet. Find the angle of elevation of the sun. Round to the nearest degree. A) $11 ^ { \circ }$ B) $8 ^ { \circ }$ C) $13 ^ { \circ }$ D) $6 ^ { \circ }$

What has to happen at vertices in order for polygons to tessellate?

$\text { Find the area of the circle. Use } \pi = 3.14 \text {. }$

$\text { Classify the angle as acute, right, obtuse, or straight. }$

$\text { Find the height of the tree, } x \text {, if the measure of } y \text { is } 8 \text { feet. }$

In triangle ABC, angle C is a right angle. Find the measure of angle B if side a = 158 cm and side b = 300 cm. Round to the nearest degree.

$\text { Find the measure of angle } C \text {. }$

A chemical company needs to paint fifty chemical tanks including the top and the bottom of the tanks. Each tank has a height of 10 ft and a diameter of 6 ft. Paint can be purchased in 1-gallon cans or in 5-gallon cans that cost the same as 4 1-gallon cans. Each gallon of paint will cover 350 square feet. How many of each should be purchased to keep the cost of painting the tanks as low as possible? Use 3.14 for .

In triangle $A B C$ , the measure of angle $A$ is $63 ^ { \circ }$ , and the measure of angle $B$ is $9 ^ { \circ }$ . Find the measure of angle $C$ .

What is the sum of the measures of the angles of a hexagon? A) $1080 ^ { \circ }$ в) $900 ^ { \circ }$ C) $720 ^ { \circ }$ D) $1440 ^ { \circ }$

$\text { Classify the angle as acute, right, obtuse, or straight. }$

What is the name of a polygon with 5 sides?

Find the perimeter.

$\text { Classify the triangle according to angles. }$

Which triangle is obtuse? A) B) C) D)

In triangle $A B C$ , angle $C$ is a right angle. Find the measure of side $a$ if the measure of angle $A$ is $13 ^ { \circ }$ and side $c = 50 \mathrm { yd }$ . A) $\approx 11.25 \mathrm { yd }$ B) $\approx 15.301 \mathrm { yd }$ C) $\approx 21.373 \mathrm { yd }$ D) $\approx 8.683 \mathrm { yd }$

$\text { Find the area. }$

Find the circumference and area of the circle if $d = 18$ . Use $\pi = 3.14$ . A) Circumference $= 113.04 \mathrm { yd }$ , Area $= 254.34 \mathrm { yd } ^ { 2 }$ B) Circumference $= 56.52 \mathrm { yd }$ , Area $= 254.34 \mathrm { yd } ^ { 2 }$ C) Circumference $= 113.04 \mathrm { yd }$ , Area $= 1017.36 \mathrm { yd } ^ { 2 }$ D) Circumference $= 56.52 \mathrm { yd }$ , Area $= 1017.36 \mathrm { yd } ^ { 2 }$

$\text { Classify the angle as acute, right, obtuse, or straight. }$