Question

8. (a) A ladder 12 m long rests on a wall 8 m in height. Find the angle made by
the ladder with the ground.

Answer 1

Answer:A 10 m ladder rests against the wall of a house. The foot of the ladder on the ground is 1.3 m from the wall. What angle does the ladder make with the wall?

Let A be the angle. The ladder, the wall and the distance on the ground from the ladder to the wall form a right triangle.

The length of the ladder is the hypotenuse of the triangle and that is 10 m.

The length of the base of the triangle is the side opposite the angle A and that is the ground distance 1.3 m.

With this information, the sine of angle A and then the meaure of angle A can be found.

sin∠A=side opp.hyp.  

=1.3 m10 m  

=1.3×10−1=.13  

Then

m∠A=arcsin.13  

where m is the measure of the angle.

Using a calculator, the angle that the ladder makes with the wall is

arcsin.13=7.47∘.

Step-by-step explanation: