Building elevation angle

In the building, I focused at an angle 30°. When I moved the 5 m building, I focused at an angle 45°. What is the height of the building?

Correct answer:

x =  6.83 m

Step-by-step explanation:

α=30  β=45   tan α = x/y tan β = x/(y5)  tan β = x/(x/tan α5)  tan β (x/tan α5) = x   tan β (x5 tan α) = x tan α  x tan β 5 tan α   tan β  = x tan α  x (tan β tan α ) = 5 tan α   tan β  x=5 tanβtanαtanα tanβ=5 tan45° tan30° tan30°  tan45° =5 10.577350.57735 1=6.83=6.83 m



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