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Two men on the same side of a tall building notice the angle of elevation to the top of the...

Question:

Two men on the same side of a tall building notice the angle of elevation to the top of the building to be 30 degrees and 60 degrees respectively. If the height of the building is known to be h= 60 m, find the distance (in meters) between the 2 men.

Pythagorean Theorem:

Pythagorean theorem states that, in a right angled triangle {eq}ABC{/eq}, the square of the side hypotenuse is equal to the sum of squares of the other two sides namely base and height.

For example:

If a triangle is right angled at {eq}B{/eq}, let {eq}AB{/eq} be height, {eq}BC{/eq} be the base and {eq}AC{/eq} be the hypotenuse of a right angled triangle {eq}ABC{/eq}, then the Pythagoras theorem is stated as

$$\displaystyle AC^2=AB^2+BC^2 $$

If {eq}AC{/eq} makes an angle {eq}\theta {/eq} with {eq}BC{/eq}

$$\displaystyle \tan(\theta)=\frac{AB}{BC} $$

Answer and Explanation: 1

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From the problem, we are given that two men on the same side of a tall building notice the angle of elevation to the top of the building to be...

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Angle of Elevation: Definition, Formula & Examples

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Chapter 5 / Lesson 12
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This lesson will define an angle of elevation, and it will provide some basic skills necessary to calculate the measure of one of these types of angles or to use it to calculate another value. Two example problems are also provided.


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