A ladder leans against a building. The foot of the ladder is 6 feet from the building. The ladder reaches a height of 14 feet on the building. a. Find the length of the ladder to the nearest foot. Use either SOHCAHTOA or CHOSHACAO.
+37103 The ladder is the hypotenuse of a right triangle. Opposite side is 14ft Adjacent side is 6 ft
angle = arctan 14/6 = 66.8 degrees
sin 66.8 = opposite/hypotenuse = 14/hypotenuse
hypotenuse = opposite/sin66.8 = 15.23 ft ladder length
An easier way would be to use the Pythagorean Theorem 14^2 + 6^2 = ladder^2
196 +36 = ladder^2
232= ladder^2 Ladder= sqrt(232) = 15.23 ft
