A ladder leaning against a house makes an angle of 60 with the ground. the foot of the ladder is 7 feet from the house. how long is the ladder?

Respuesta :

Hosein

[tex] \sin(30) = \frac{7}{x} \\ x = 14[/tex]

The length of the ladder that leaned on a wall and formed an angle of 60 degrees is 14 ft.

The situation forms a right angle triangle

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios,

Therefore,

The length of the ladder is the hypotenuse side of the triangle formed.

The distance form the foot of the ladder to the wall is the adjacent side.

Therefore,

cos 60° = adjacent / hypotenuse

cos 60° = 7 / h

h = 7 / cos 60°

h = 7  /0.5

h = 14 ft

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