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Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.


If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step

Johnny Uses A Mirror Placed On Level Ground To Measure The Height Of A Building Johnnys Eyes Are 6 Feet Above The Ground And He Stands 4 Feet Away From The Mirr class=

Sagot :

DWRead

Answer:

Step-by-step explanation:

θ = angle of incidence = angle of reflection

You have two similar triangles.

tanθ = 6/4 = h/45

h = 45×6/4 = 67.5 ft

View image DWRead

The required height of the building is 67.5 feet.

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5

Thus, the required height of the building is 67.5 feet.


Learn more about triangles here:
https://brainly.com/question/2773823

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