Download Name: TP: ______ CRS CLASS OF 2015 AVERAGE MASTERY

Name: ________________________________ TP: _______
CW#78: GRASP – Pythagorean, Special Right, Trig
Geometry
CRS
CLASS OF 2015 AVERAGE MASTERY
PPF602: Use the Pythagorean Theorem
51%
PPF601: Apply properties of 30-60-90, 45-45-90, similar,
and congruent triangles
48%
FUN 502 Express sine, cosine, and tangent of an angle in
a right triangle as a ratio of given side lengths
46%
FUN602: Apply basic trigonometric ratios to solve righttriangle problems.
56%
You will GGGGGRRRRRRRRRRRRRRRRRRRRRRRRAAAAAAAASSSSSSSSSSSSSSSSSSSSPPPPPP the
following problems! They are application problems, which means they are MORE difficult. If you want to
increase your mastery, these problems are the way to get there!
1) Pythagorean. In your town, there is a
field that is in the shape of a right triangle.
One leg is 35 feet, and the hypotenuse
measures 80 feet.
A) Find the perimeter of the field.
B) You are going to plant dogwood
seedlings about every ten feet around the
field’s edge. How many trees do you need?
C) If each dogwood seedling sells for $12,
how much will the trees cost?
2) Pythagorean. In baseball, the distance
of the paths between each pair of
consecutive bases is 90 feet and the paths
form right angles. How far does the ball
need to travel if it is thrown from home
plate directly to second base?
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3) Special Right Triangles. The area of
the shaded region is 45 inches squared.
Find the missing hypotenuses for both
triangles.
7√2 in.
4) Special Right Triangles. Each figure
below is a 30°-60°-90° triangle. Find the
value of x. Round to the nearest
5) Trigonometry. A person flying a kite
has released 176 m of string. The string
makes an angle of 27° with the ground.
How high is the kite? How far away is the
kite horizontally? Answer to the nearest
meter.
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6) Trigonometry. Find the perimeter of the
larger triangle. Round intermediate values to
the nearest tenth. Use the rounded values to
calculate the next value. Round your final
answer to the nearest tenth.
7) Trigonometry. Two vertical poles, one 3
meters tall and the other 5 meters tall, stand a
certain distance apart. A line from the top of
the shorter pole to the top of the taller pole
makes a 15 angle with a horizontal line.
Which of the following expresses the
horizontal distance, in meters, between the
bases of the two poles (rounded to the nearest
hundredth)?
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8) Trigonometry. From a stationary hot-air
balloon 500 ft above the ground, two
sightings of a lake are made (see figure). How
long is the lake?
9)
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Name: ______________________________________ TP: _____
EXIT SLIP
Score: ______ / 1
Pick one of the two problems for your exit slip. #1 is easier, and #2 is more of a challenge. Pick the
appropriate level of difficulty for YOU!
1) A person flying a kite has
released 176 m of string. The
string makes an angle of 27°
with the ground. How high is the
kite? How far away is the kite
horizontally? Answer to the
nearest meter.
2) To measure the height of a
building, two sightings are taken a
distance of 50 ft apart. If the first
angle of elevation is 40° and the
second is 32°, what is the height
of the building?
h
32⁰
50 ft.
40⁰
x
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