A lighthouse keeper views a small boat at an angle of depression of 62 degrees. The boat is 446 feet away from the base of the l
ighthouse. How tall is the lighthouse?
1 answer:
Answer: the height of the lighthouse is 838.8 feet
Step-by-step explanation:
The right angle triangle ABC illustrating the scenario is shown in the attached photo.
The angle of depression and angle A are alternate angles, hence, they are the equal.
The height, h of the lighthouse represents the opposite side of the right angle triangle. The distance of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine h, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 62 = h/446
h = 446tan62 = 446 × 1.8807
h = 838.8 feet to the nearest tenth.
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Answer:
Option B can be quadratic.
Step-by-step explanation:
Take a look at the data.
A quadratic equation is of the form ,
,
where, a,b,c are constants.
<em>To find an unknown equation of 3 variables,</em>
<em>we need 3 points lying on the equation.</em>
here they have given, 5 points, meaning all should lie on the curve.
<em>For first option,</em> inserting first 3 points to find equation, we get equation as,
, but the rest points don't satisfy the curve.
So first option is not quadratic.
Similarly, it can be shown that option C and D are also not quadratic.
While, in option B, it is clear that for every y, x is y squared,
, thus quadratic in nature.