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A damsel is in distress and is being
held captive in a tower. Her knight in
shining armor is on the ground below
with a ladder. When the knight stands
15 feet from the base of the tower and
looks up at his precious damsel, the
angle of elevation to her window is 60
degrees. How long does the ladder
have to be?

Respuesta :

hippopotamus

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

The length of ladder to be used by knight  will be of 30 feet

What is angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

According to the question

The knight stands 15 feet from the base of the tower and the

angle of elevation to her window is 60 degrees.

Therefore, In figure

AB = Height of tower

CA = Distance between knight and tower  = 15 feet

BC = Length of the ladder

angle of elevation  = 60°

Now ,

Cos(60°) = [tex]\frac{Base}{Hypotenuse} = \frac{distance between knight and tower}{Length of the ladder } = \frac{15}{BC}[/tex]

[tex]\frac{1}{2} = \frac{15}{BC}[/tex]

BC = 30 feet

Length of the ladder  = 30 feet

Hence, the length of ladder will be used is 30 feet .

To know more about angle of elevation here :

https://brainly.com/question/21137209

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