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Laabri

7.9 Finding the Missing Angles of a Right Triangle using Trigonometry (Due 5/18/22)

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21 Nsɛmmisa
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Essential Question:  What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.

Essential Question:  What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.

Concept Review

5

Similar Polygons

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Notes--Page 16 Trigonometric Functions

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Day 2 5/18/22

Find the Missing Angles

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1.

Solve each proportion.

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2.
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3.

What is the correct order of steps to solve this similarity problem?

If △DEF ~ △HJG; find x

  1. Cross multiply to make the equation:

  2. Simplify the equation to

  3. x=20

  4. Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:

  5. JG is the side that has to be in the proportion created because it contains x, so create a proportion using corresponding sides from each triangle:

  6. Replace the all the sides with numbers:

  7. Divide both sides of the equation by 9:

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4.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △DEF ~ △HJG; find x

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5.

Find the value of x. Round to the nearest tenth.

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6.
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7.

Find the value of x. Round to the nearest tenth.

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8.

Find the value of x. Round to the nearest tenth.

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9.
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10.

Find the length of DE to the nearest tenth.

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11.
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12.

Solve for x. Round to the nearest tenth.

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13.

Solve for x. Round to the nearest tenth.

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14.

Solve for x. Round to the nearest tenth.

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15.

Solve for x. Round to the nearest tenth.

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16.

Solve for x. Round to the nearest tenth.

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17.

Solve for x. Round to the nearest tenth.

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18.

Solve for x. Round to the nearest tenth.

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19.

Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground is 68° , how far from the base of the house did he place the ladder?

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20.

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25° , how long is the ramp?

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21.

A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?