Answer:
Option 4 - 18.8 meter.
Step-by-step explanation:
Given : Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who is standing 20 meters from Jack.
Determines that the angle of elevation to the top of the tower is 60°. If Jack’s and John’s eyes are 1.5 meters from the ground and the distance from Jack's eyes to the top of the tower is 50.64 feet.
To find : How far is John from the base of the tower?
Solution :
Let x be the distance between John and clock tower.
Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.
First we take a right angle triangle ABD,
Apply trigonometric,
Now, we take right angle triangle ACD,
Now, Solving for x equating both y
Therefore, Option 4 is correct.
Distance of John from the base of the tower is 18.8 meter.
Refer the attached figure.