I need help!!! I don't get it.
1 answer:
The ship's horizontal distance from the lighthouse is 1930.59 feet. Using trigonometric ratio 'tanθ' the distance is calculated.
<h3>What are trigonometric ratios?</h3>The trigonometric ratios are used for determining the lengths of the right-angled triangle. There are six basic trigonometric ratios. they are:
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
sec θ = hypotenuse/adjacent
cosec θ = hypotenuse/opposite
cot θ = adjacent/opposite
<h3>Calculation:</h3>It is given that,
The height of the bacon-light is 135 feet above the water
Consider the horizontal distance between the boat and the lighthouse = x feet
The angle of elevation is given as 4°
Constructing a model as below in the figure.
From the trigonometric ratios, we have
tan θ = 135/x
⇒ tan 4° = 135/x
⇒ x = 135/tan 4°
∴ x = 1930.589 feet ≅ 1930.59 feet (rounding to the nearest hundredth of a foot)
Therefore, the ship's horizontal distance from the lighthouse is 1930.59 feet.
Learn more about trigonometric ratios here:
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