Question

When she was younger, Mary had to look up at a 68 degree angle to see into her father's eyes whenever she was standing 15 inches away. How high above the flat ground were her father's eyes if Mary's eyes were 32 inches above the ground?

Answer 1

Answer:

69 INCHES

Step-by-step explanation:

Given that :

Height of father's eye above the flat ground :

Kindly check attached picture for diagram:

To obtain the value of h ; we can use Pythagoras rule ;

Tan θ = opposite / Adjacent

Tan 48 = h / 15

15 tan 48 = h

37.126302 = h

h = 37.

Hence, height of father's above the flat ground :

h + 32 = 37 + 32= 69 inches