Answer:
67°
Step-by-step 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:
[tex]Sin\theta=\frac{Opposite}{Hypotenuse}\\Sin\theta=\frac{9.2}{10}\\\theta=Sin^{-1}(\frac{9.2}{10})\\\theta=66.93[/tex]
rounded to nearest degree, it is 67 degrees.
