Name____________________________________ 4:10
Date ______________________
A. Assume the lines that appear tangent, are tangent. Find x to the nearest tenth
1. If DE is a tangent line,
What is the angle x?
2. If AB is tangent to circle C,
Find the radius.
3. Is ML tangent to
Circle N at L? Explain.
4. LM and MN are both tangents
to circle O, Find x°. Hint:
Sum of internal angles of a
quadrilateral is 360°
B. Find the variable, assume the lines that appear tangent are tangent. Round to the nearest tenth.
5.
6.
7.
8.
9.
10.
11.
12 12.
13.
C. Determine whether a tangent is show in the diagram
1.
2.
3.
14.
4.
D. Use what you know about tangents to answer the questions
1. Early in its flight, the Apollo 11
spacecraft orbited Earth at an altitude of
120 miles. What was the distance from
the spacecraft to Earth’s horizon
rounded to the nearest mile? Assume
earth’s radius is 4000 miles.
2. Kilimanjaro, the tallest mountain in
Africa, is 19,340 ft tall. What is the
distance from the summit of
Kilimanjaro to the horizon to the
nearest mile? (5,280 ft in a mile)
3. The peak of Mt. Everest is about
8850 m above sea level. About how
many kilometers is it from the peak of
Mt. Everest to the horizon if the Earth’s
radius is about 6400 km? Draw a
diagram to help you solve the problem.
E. Find the perimeters or lengths of tangents.
1.
2.
5.
3.
6.
4.
7.
8.
F. Consider the relationship between chords and the radius to find x. Round the nearest tenth.
Explain how you know or show all your work.
1.
2.
3.
4.
5.
6.
7.
8.
9.
G. Use the inscribed angle theorem to find the measures
1.
2.
3.
And
Find a.
10.
4.
Find angle 2
5.
Find angle 1 & 3
Find a°