Question

HELPPPPPPPPPPP PLEASEEEEEE!!!!!

Answer 1

I hope this helps you

Answer 2

Answer:

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 = ∠ECD

Hence  ΔABC is similar to ΔCDE.

2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.

3). tanE = $\frac{CD}{DE}=\frac{3}{6}$

tanE = 0.5

∠ E = $tan^{-1}(0.5)=26.57$ degrees

Now ∠E = ∠A = 26.57°

Therefore, tan(26.57) = $\frac{20}{AB}$

0.5 = $\frac{20}{AB}$

AB = $\frac{20}{0.5}=40$

Therefore, height of the peak AB is 40 feet.