Question

Sarah and Joshua are trying to estimate the height of a parking garage using a 50 yards-long rope. Joshua is in the floor while Sarah stands on the top level of the garage. Each holds an end of the rope. Joshua walks away until the rope is completely tense, making a 30° angle with the floor and 60° with the garage wall. Joshua says the height can be calculated using the function sin (30) and determines the height is 25 yards. Sarah says the correct expression to be used is cos (60) and her calculation is that the height is 25 yards. Which one is correct?​

Answer 1

Both are correct, the height can be calculated using either expression if angles are complementary.

Explanation: