Answer the
following questions pertaining to
right triangles.
Have your calculator ready and a piece of paper.
1. 

A ladder leans against a
building. The foot of the ladder is 6 feet from the
building. The ladder reaches a height of 14 feet on the
building.

a.
Find the length of the ladder to the nearest foot.
Choose:

b.
Find to the nearest degree, the angle the ladder makes with the
ground.
Choose:




2. 

Which
statement can NOT
be used to find the
length of x?

Choose:


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



4. 

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


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



6. 

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


7. 

a.
Find x.
b.
Find y.

a.
Choose:

b.
Choose:


8. 
This
is a hard problem!!!

a.
Find x.
b.
Find y.

a.
Choose:

b.
Choose:




9. 

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


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.
Properties of a rhombus: The
diagonals are perpendicular.
The diagonals bisect each other.
The diagonals bisect the angles.



What
is the measure of angle DEC?

What
is the length of the sides of the rhombus to the nearest
integer?

What
is the length of the longer diagonal to the nearest
integer?

Using
your answer from part c and the given diagonal length of
10, find the area of the rhombus.
Answer


