. Which problem has a remainder of 3? *
1 answer:
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I've drawn a triangle to represent the journey (see attached.
The angle from Home to Victim to Hospital is:
a =
Using the cos rule, we can solve for the length x:
Using the cos rule, we can solve for angle b:
So the bearing the helicopter has to travel is:
270 - 76.1 = <u>193.9 degrees (1 dp)</u>
And the distance it travels is <u>31.2 km (1 dp)</u>
The angle from Home to Victim to Hospital is:
a =
Using the cos rule, we can solve for the length x:
Using the cos rule, we can solve for angle b:
So the bearing the helicopter has to travel is:
270 - 76.1 = <u>193.9 degrees (1 dp)</u>
And the distance it travels is <u>31.2 km (1 dp)</u>
The length of the new sidewalk between the Dormitory to the recreation center is 143 yards
We need to understand the concept of Bearing and Distance in order to be able to determine how long is the new sidewalk.
<h3>What are Bearing and Distance?</h3>The Bearing of an angle measures the movement of an angle in a clockwise direction starting from the North Pole. However, the distance shows how the length of the sides of the angle can also be measured.
From the diagram attached below:
- The adjacent of the sidewalk way = 80 yards.
- The hypotenuse shows the new sidewalk way = x( unknown)
- The angle θ = 56°
Using the relation from trigonometry:
x ≅ 143 yards
Learn more about Bearing and distance here:
