myranicolehullett
contestada

A 13.5-meter ladder leans against a brick wall and the ladder makes a 75 degree with the wall. The distance d the ladder goes up the wall is ___ meters. round your answer to the neartst tenth.

Respuesta :

Answer:

The distance that ladder goes up the wall is 13.03 meters

Step-by-step explanation:

Given as :

The measure of the ladder = h = 13.5 meters

The angle made by ladder with wall =  Ф = 75°

Let The distance that ladder goes up the wall = d meters

Now, According to question

Sin angle = [tex]\dfrac{\textrm perpendicular}{\textrm hypotenuse}[/tex]

Or, SinФ = [tex]\dfrac{\textrm d}{\textrm h}[/tex]

Or, Sin 75° = [tex]\dfrac{\textrm d}{\textrm 13.5 meters}[/tex]

Or, 0.9659 = [tex]\dfrac{\textrm d}{\textrm 13.5 meters}[/tex]

Or, d = 0.9659 × 13.5 meters

∴  d = 13.03 meters

So,The distance that ladder goes up the wall = d = 13.03 meters

Hence,The distance that ladder goes up the wall is 13.03 meters Answer

iiJasmine

Answer:

The distance that ladder goes up the wall is 13.03 meters

Step-by-step explanation:

d = 0.9659 × 13.5 meters

∴  d = 13.03 meters

So,The distance that ladder goes up the wall = d = 13.03

Otras preguntas