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| 1 | |
Which of the following correctly completes the sentence?
“A right triangle can be solved if you know the measure of:
I. …one side.”
II. …two sides.”
III. … one side and one other angle.”
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| | A) | I only. |
| | B) | II only. |
| | C) | III only. |
| | D) | II and III. |
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| 2 | |
The use of which of the following formula(s) would be sufficient to solve the triangle shown:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506629/FFCM11_KeyQuiz1_5_question2.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (14.0K)</a>]]> |
| | A) | Sine law alone. |
| | B) | Cosine law alone. |
| | C) | Sine law and cosine law used in combination. |
| | D) | Pythagorean Theorem and trigonometric ratios. |
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| 3 | |
Which formula(s) would be needed to solve the triangle shown:
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506629/FFCM11_KeyQuiz1_5_question3.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (10.0K)</a>]]> |
| | A) | Cosine law alone. |
| | B) | Sine law and cosine law used in combination. |
| | C) | Pythagorean Theorem and trigonometric ratios. |
| | D) | Cannot be solved without more information being supplied. |
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| 4 | |
A balloonist is tethered 50 m above the ground between two trees as shown
 <![CDATA[<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070780846/506629/FFCM11_KeyQuiz1_5_question4.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (20.0K)</a>]]>
What is the distance between the trees to the nearest metre? |
| | A) | 71 m |
| | B) | 127 m |
| | C) | 209 m |
| | D) | 238 m |
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| 5 | |
A surveyor finds the angles between three mountains to be 52°, 58°, and 70°. If the two mountains which are furthest apart are 24 km apart, find the other distances between the mountains to the nearest tenth of a kilometre. |
| | A) | 26.6 km and 28.6 km |
| | B) | 20.1 km and 21.7 km |
| | C) | 22.3 km and 26.6 km |
| | D) | 25.9 km and 28.6 km |
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