Mathematics, 25.07.2019 23:30 Jakeandjenn21

Sarah sights the top of the statue of liberty at an angle of elevation of 61 if sarah is 5.5 feet tall and is standing 166 feet from the base of the statue find its height answer

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Answer from: kahnerp6448

The height of the statue of liberty, where Sarah is making angle of elevation of 61 degrees is 305.5 ft.

What is angle of elevation?

The angle of elevation is the angle made between the straight line and the line of observer seeing the object, which is above that straight line.

Here, it is given that the Sarah sights the top of the statue of liberty at an angle of elevation of 61.

Sarah is 5.5 feet tall and is standing 166 feet from the base of the statue. The image is attached below for the given problem.

Here, in the attached image below, the right angle triangle is formed. The tangent angle of the right angle triangle is the ratio of opposite side to the adjacent side. Thus, tangent angle can be given as,

$\tan (60^o)=\dfrac{h}{166}\\h=166\times\tan (60^o)\\h=299.50\rm ft$

As, The height of the Sarah is 5.5 feet and the height of the statue from the head of the Sarah to the top of it is 299.50 feet. Thus the height of the statue is,

$h_s=5.5+299.50\\h_s=305.5\rm ft$

Thus, the height of the statue of liberty, where Sarah is making angle of elevation of 61 degrees is 305.5 ft.

Learn more about the angle of elevation here;

link

Answer from: ramandeep

To solve this problem you must apply the proccedure below:

1. You have that:

- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.

- She is standing 166 feet from the base of the statue.

- Sarah is 5.5 feet tall.

2. Therefore, the heigth of the statute is:

Tan(61°)=x/166
x=(166)(Tan(61°)
x=299.47 feet

Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
Sarah sights the top of the statue of liberty at an angle of elevation of 61 if sarah is 5.5 feet ta

Sarah sights the top of the statue of liberty at an angle of elevation of 61 if sarah is 5.5 feet ta

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Hello! i hope this
since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.

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