At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The top of a 2.7m ladder, leaning against a wall, reaches a height of 1.6m. What angle, to the nearest degree, does the ladder make with the ?

Sagot :

iGreen
So the hypotenuse is 2.7, and the opposite is 1.6.

We can use sine to find the angle.

sin(x) = (1.6)/(2.7)

Simplify:

sin(x) = 0.592592593

Plug this in your calculator to find the inverse of sine:

x = 36.34120312

So the angle is 36 degrees.
(see the figure I uploaded)

[tex]\sin(\beta)=1.6/2.7\Rightarrow \beta=\arcsin(1.6/2.7)\approx36.34^\circ[/tex]
View image Hippalectryon