Answer:
Explanation:
Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E = degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.