A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 70°. How high does the ladder reach on the building? (Round your answer to the nearest foot.)

Respuesta :

Answer:

The value of height does the ladder reach on the building = 21 ft

Explanation:

length of the ladder = 22 ft

Angle between the ground and  the ladder = 70°

Now we have to calculate ( h ).

From the triangle ABC ,  [tex]\sin \theta[/tex] = [tex]\frac{h}{22}[/tex]

⇒ h = [tex]\sin \theta[/tex] × 22

Put the value of [tex]\theta[/tex] = 70° we get,

⇒ h = [tex]\sin[/tex] 70° × 22

⇒ h = 21 ft

This is the value of height does the ladder reach on the building.

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