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disa [49]
3 years ago
5

Navigators locate an object by measuring its location clockwise direction from due north. The measure of the angle is called the

bearing. Suppose a lighthouse's bearing is 135° from an island. Be sure to show and explain all work for each part. Part 1: Find the angle represented by the lighthouse on the unit circle. Part 2: Determine the exact ordered pair associated with the lighthouse on the unit circle. Part 3: Find the exact sine, cosine, and tangent of the angle on the unit circle.
Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

  • <em>Refer to attached.</em>

Part 1

  • Since bearing is taken from north, i.e. 90°, this will be represented by -45° on the units circle.

Part 2

  • The ordered pair is: (0.707, -0.707)

Part 3

  • sin (-45°) = -√2/2
  • cos (-45°) = √2/2
  • tan (-45°) = -1

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I think you can solve it by
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What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2
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8 0
3 years ago
Roger ran eight laps around a mile track during PE on Monday. Answer each question in the space provided. Part A How many feet d
Gre4nikov [31]

Answer:

A) 10,560 ft. B) 32 more laps.

Step-by-step explanation:

A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.

B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.

5 0
3 years ago
If x = -1, x cubed + x
forsale [732]
(-1)(-1)(-1)+(-1)=-1-1=-2

-2

Hope this helps!
6 0
3 years ago
Read 2 more answers
The question is in the picture i attached. the right answer gets brainlist :) &lt;3
sergeinik [125]

Answer:

∠ 4 = 130°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 4 is an exterior angle of the triangle , so

∠ 4 = ∠ 1 + ∠ 2 ( substitute values )

11x + 9 = 6x + 6 + 4x + 14 , that is

11x + 9 = 10x + 20 ( subtract 10x from both sides )

x + 9 = 20 ( subtract 9 from both sides )

x = 11

Then

∠ 4 = 11x + 9 = 11(11) + 9 = 121 + 9 = 130°

your friend may have only calculated ∠ 1

∠ 1 = 6x + 6 = 6(11) + 6 = 66 + 6 = 72°

7 0
2 years ago
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