Question

The picture below shows a pole and its shadow: A pole is shown with a right triangle side. The right triangle has hypotenuse 113 cm and base 15 cm. What is the height of the pole? 112 centimeters 100 centimeters 98 centimeters 64 centimeters

Answer 1

In a right triangle the following relation stands:

(Hypotenuse)² = a²+b² (Pythagoras), hence

113² = 15² + x² ==> 12,769 = 225 + x²

x² = 12,769-225 = 12,544 == x = √12544 = x = 112 cm