Unformatted text preview: Geometry Study Guide
The top of a ladder rests 8 feet up on the wall. The foot of the ladder is placed 6 feet from a
wall. How long is the ladder? A 40-foot tree casts a 25-foot shadow. Find the shadow cast by a nearby apartment building
200 feet tall. Show your work. A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to
run from one corner to the corner diagonally across. What is this distance each player would
run? A building stands on level ground. The angle of elevation to the top of the building taken from
a point 405 feet away from the building is 32˚. Find the height of the building. A student is flying a kite and lets out 150 feet of string that makes an angle of 64˚ with the
ground. If the string forms a straight line, how high is the kite above the ground? A B
y- 5 E 13 - x 2y Given AC = z + 4 and EC = 2z - 4.
x = ______ y = ______ BE = _______ BD = _______ ED = ______ BC = _______ AD = _______ AE = ______ EC = _______ Z = ______ AC = ______ 2x - 5 5
-1 D C Label all points on the number line and fill in the blanks.
Point A = (-4), point B = (-1). If the
ratio of AB to BC is 1:1, at what
positive value is point C?
______ Point A = (-5), point B = (3). If the ratio
of AB to CB is 2:1, where is point C
on this number line?
________ A EC = _____ AB = ______ BC = ______ BE = _____ m A = ______ m B = ______ 5 D
5 3 B ∢ ∢ ∢ ∢ m C = ______ m CDE = ______
E C ∢ ∢ m ADE = ______ m DEC = ______ Using the triangle above, answer the following questions. Use a calculator when necessary.
sinB = _______ the length of segment CB = _______ sinA = _______ tanA = ________ cosB = ______ tanB = ________ cosA = ______ side adjacent to A is segment ________ m ∡A =______ the hypotenuse is segment _______ m ∡B =______ m ∡C = _______ ...
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