Questions

MATH Advanced Math - Unit 19: Introduction to Trigonometry

For the first six questions, match the correct trigonometric ratio with for the right triangle shown below (not all answers may be used- others used more than once). Write the letter of the correct answer.

1) Which ratio corresponds to:

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2) Which ratio corresponds to:

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3) Which ratio corresponds to:

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4) Which ratio corresponds to:

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5) Which ratio corresponds to:

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6) Which ratio corresponds to:

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For the next four problems, convert the degree measures to radians. To enter a radian measure via the keyboard, express the answer in the same format as the sample answer shown below.

7) What is the radian measure for:

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8) What is the radian measure for:

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9) What is the radian measure for:

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10) What is the radian measure for:

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For the next four problems, convert the radian measures to degrees. To enter a degree measure via the keyboard, express the answer in the same format as the sample answer shown below.

11) What is the degree measure for:

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12) What is the degree measure for:

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13) What is the degree measure for:

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14) What is the degree measure for:

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For the next three problems, determine the measures of the unknown angles in each triangle using the arcsine, arccosine or arctangent keys on your calculator. Round the answers to the nearest thousandth of a degree.

15) What is the measure of the unknown angle?

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16) What is the measure of the unknown angle?

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17) What is the measure of the unknown angle?

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For the next three problems, determine the measures of the unknown sides in each triangle. Round the answers to the nearest thousandth.

18) x = ?

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19) x = ?

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20) x = ?

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For the next two problems, label answers correctly and round the answers to the nearest thousandth.

21) A boat is anchored 8 miles offshore from the dock. A lighthouse is positioned 17 miles from the dock along the shore. The boat, the dock and the lighthouse form a right angle. What is the measure of the angle formed with the boat at the vertex? Express the measurement to the nearest thousandth of a degree.

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22) In problem #21 the boat begins to sail away from the dock. How far is the boat from the lighthouse when the angle formed with the lighthouse as the vertex is 60 degrees? Round to the nearest thousandth of a mile.

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