Question 1

In $\bigtriangleup ABC$, $\angle B=90^O$, $c=5$ $cm$ and $b=8$ $cm$.  Which of the following is true?

Accepted Answer

$a=6.24$ $cm$

Answer

$a=9.43$ $cm$

Answer

$a=5$ $cm$

Answer

$a=39$ $cm$

Question 2

In $\bigtriangleup ABC$, $\angle B=90^O$, $c=5$ $cm$ and $b=8$ $cm$.  Which of the following is true?

Accepted Answer

$\angle C=39 ^O$

Answer

$\angle C=32 ^O$

Answer

$\angle C=51 ^O$

Answer

$\angle C=58 ^O$

Question 3

In $\bigtriangleup ABC$, $\angle B=90^O$, $c=5$ $cm$ and $b=8$ $cm$.  Which of the following is true?

Accepted Answer

$\angle A=51^O$

Answer

$\angle A=39^O$

Answer

$\angle A=32^O$

Answer

$\angle A=32^O$

Question 4

In $\bigtriangleup EFH$, $\angle E=90^O$, $\angle H = 46^O$ and $h=19$ inches.  Which of the following is true?

Accepted Answer

$\angle F=44^O$

Answer

$\angle F=90^O$

Answer

$\angle F=45^O$

Answer

$\angle F=46^O$

Question 5

In $\bigtriangleup EFH$, $\angle E=90^O$, $\angle H = 46^O$ and $h=19$ inches.  Which of the following is true?

Accepted Answer

$f=18.35$ inches

Answer

$f=13.2$ inches

Answer

$f=19.68$ inches

Answer

$f=27.35$ inches

Question 6

In $\bigtriangleup EFH$, $\angle E=90^O$, $\angle H = 46^O$ and $h=19$ inches.  Which of the following is true?

Accepted Answer

$e=26.41$ inches

Answer

$e=23.13$ inches

Answer

$e=13.67$ inches

Answer

$e=27.36$ inches

Question 7

You are lying on the ground 50 feet away from a building, and you look up to the top of the building at an angle of elevation of $33^O$.  How tall is the building?

Accepted Answer

32.47 feet

Answer

77 feet

Answer

41.93 feet

Answer

27.23 feet

Question 8

In $\bigtriangleup FDR$, $\angle D=90^O$, $\angle F = 73^O$ and $f=11$ inches.  Which of the following is NOT a valid method for determining the length of the sides?

Accepted Answer

$sin73^O=\frac {11} {r}$

Answer

$cos17^O=\frac {11} {d}$

Answer

$tan17^O=\frac {r} {11}$

Answer

$sin73^O=\frac {11} {d}$

Question 9

In $\bigtriangleup GBJ$, $\angle B=90^O$, $g=4$ and $j=3$.  Which of the following is NOT a valid method for determining the measurements of the angles?

Accepted Answer

$J=sin^{-1} \Big(\frac 4 5 \Big)$

Answer

$G=sin^{-1} \Big(\frac 4 5 \Big)$

Answer

$J=tan^{-1} \Big(\frac 3 4 \Big)$

Answer

$G=cos^{-1} \Big(\frac 3 5 \Big)$

Question 10

You are standing on the top of a building that is 40 feet from a taller building.  From your view, the angle of elevation to the top of the tall building is $54^O$ and the angle of depression to the bottom of the building is $31^O$.  How tall is the building that you are looking at?

Accepted Answer

79.09 feet

Answer

55.06 feet

Answer

24 feet

Answer

52.96 feet

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