Oi :)
The measure of the angle formed by the base of the ladder and level ground is?
[tex] sin \alpha = \frac{cateto \ opposite}{cateto\ adjacent} \\ \\ sin \alpha = \frac{20}{24} \\ \\ sin \alpha =0.833 \\ \\ \alpha =sin^{-1} 0.833 \\ \\ \alpha =56.4^0[/tex]
The measure of the angle formed by the top of the ladder and the second story window is?
[tex]\alpha + \beta + 90^0=180 \\ \beta +56.4+90=180 \\ \beta =180-146.4 \\ \beta =33.6^0[/tex]
The distance, on level ground, between the base of the ladder and the house is?
Using Piagoras:
[tex]a^2+b^2=c^2 \\ a^2+20^2=24^2 \\ a^2+400=576 \\ a^2=576-400 \\ a^2=176 \\ a= \sqrt{176} \\ a=13.26 \ feet[/tex]
Please see attachment .
Boa Noite. Bons Estudos e Seja Feliz !
