Solve y
1 answer:
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Hey there :)
We need to use trigonometry here
Given is the angle = 30°
And one side = 26
With a missing side = x
The missing side is the opposite of the given angle, we have the adjacent but we don't know the value of the hypotenuse, so we need to use Tangent
Tan α =
tan 30 =
26tan(30) = x
x = 15
We need to use trigonometry here
Given is the angle = 30°
And one side = 26
With a missing side = x
The missing side is the opposite of the given angle, we have the adjacent but we don't know the value of the hypotenuse, so we need to use Tangent
Tan α =
tan 30 =
26tan(30) = x
x = 15
Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ <u>28.6 km</u>
<u />
II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ <u>34.8 km</u>
