Question

a 10 foot ladder is placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house. A. What is the measure of the angle formed by the ladder and the level ground. Round your answer to the nearest degree. Show your work.

Answer 1

67°

Explanation:

The ladder, ground, and the house makes a right triangle with the 10 foot ladder as the hypotenuse and 9.2 feet of the house as opposite side to the angle created between ladder and ground (the angle we are seeking).

Which trig ratio relates Opposite with Hypotenuse? It is sine. Thus we can form a trig ratio and solve:

`Sin\theta=(Opposite)/(Hypotenuse)\\Sin\theta=(9.2)/(10)\\\theta=Sin^(-1)((9.2)/(10))\\\theta=66.93`

rounded to nearest degree, it is 67 degrees.