Tabitha slides down a 25 foot slide that is 15 feet tall what is the angle of inclination from the ground to the slide.

Question

This is an Algebra 2 homework question that she is giving us the grade of a quiz on we are allowed any source.

Answer 1

I always recommend to my students to draw a picture of the situation outlined in the word problem. For this question, you would have constructed a right triangle with the "slide" being hypotenuse, our angle θ being the angle of inclination (the angle that the slide makes with the ground), and the height of the slide being side opposite to θ. So.....

hyp = 25

opp = 15

and we want to solve for θ, so we need to use the inverse trig functions

sin^-1(opp/hyp) = θ

sin^-1(15/25) = 36.9^o