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| Math
A |
Working
with
Right Triangles |
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Answer the
following questions pertaining to
right triangles.
| 1. |
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A ladder leans against a
building. The foot of the ladder is 6 feet from the
building. The ladder reaches height of 14 feet on the
building.
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a.
Find the length of the ladder to the nearest foot.
Choose:
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b.
Find to the nearest degree, the angle the ladder makes with the
ground.
Choose:
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| 2. |
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Which
statement can NOT
be used to find the
length of x?
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Choose:
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| 3. |
From a point
on the ground 25 feet from the foot of a tree, the angle
of elevation of the top of the tree is 32º. Find to
the nearest foot, the height of the tree.
Answer
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| 4. |
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The figure
shown on the left is a trapezoid. Using the
information given, find the area of this trapezoid to the
nearest square unit.
Answer
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| 5. |
From the top
of a barn 25 feet tall, you see a cat on the ground.
The angle of depression of the cat is 40º. How many
feet, to the nearest foot, must the cat walk to reach the
barn?
Answer
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| 6. |
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In
the figure on the left, ABCD is a rectangle whose perimeter is 30.
The length of BE is 12. Find to
the nearest degree, the measure of angle E.
Answer
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| 7. |
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a.
Find x.
b.
Find y.
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a.
Choose:
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b.
Choose:
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| 8. |
This
is a hard problem!!!
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a.
Find x.
b.
Find y.
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a.
Choose:
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b.
Choose:
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| 9. |
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In
the figure on the left, ABCD is a square whose side is 8
units. Find the length of diagonal AC to the nearest tenth.
Answer
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| 10. |
In
the figure below, ABCD is a rhombus. The
measure of angle A is 150º. Draw the diagonals so
that they intersect at E. The shorter diagonal
measures 10.
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What
is the measure of angle DEC?
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What
is the length of the sides of the rhombus to the nearest
integer?
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What
is the length of the longer diagonal to the nearest
integer?
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Using
your answer from part c and the given diagonal length of
10, find the area of the rhombus.
Answer
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