Answer:
The height of the building is 25.3 m.
Step-by-step explanation:
Given:
The length of a shadow of a building is (leg2) 27 m . The distance from the top of the building to the tip of the shadow(hypotenuse) is 37 m.
Now, to find the height of the building(leg1) :
By using Pythagorean Theorem:
leg1² + leg2² = hypotenuse²
[tex]leg1^{2}+27^{2} =37^{2}[/tex]
[tex]leg1^{2}+729=1369[/tex]
Subtracting both sides by 729 we get:
[tex]leg1^{2}=640[/tex]
Using square both the sides we get:
[tex]leg1=25.29[/tex]
The height of the building nearest to tenth = 25.3 m.
(As 9 is in the hundredth place and 2 in the tenth place so rounding of 25.29 will change into 25.3) .
Therefore, the height of the building is 25.3 m.
