Standards:
MA.912.T.1.2 Solve mathematical and real-world problems involving right triangles using
trigonometric ratios and the Pythagorean Theorem.
Joshua has a ladder that is 23 ft long. He wants to lean the ladder against a vertical wall so that
The top of the ladder is 21.5ft above the ground. For safety reasons, he wants the angle the
ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height?
Show your work and draw a diagram to support your answer. Round all answers to the nearest
hundredth.