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A 14-meter ladder leans against a building forming a 30° angle with the building. Exactly how
high is the ladder on the building in meters? Round to the nearest hundredth (2 digits after the
decimal).

Respuesta :

Answer: 12.12 m

Step-by-step explanation:

Given

length of ladder L=14 m

the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building

With the help of a diagram, we can write

[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]

[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]

[tex]h=14\cos 30^{\circ}[/tex]

[tex]h=12.12\ m[/tex]

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