Tower's view

From the church tower's view at the height of 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the height of the house and its distance from the church.

Correct answer:

y =  24.3835 m
x =  40.6165 m

Step-by-step explanation:

h=65 m α=45  β=58   tan β = h : x  x=h/tanβ=h/tan58° =65/tan58° =65/1.600335=40.61651 m  tan α = (hy) : x  y=hx tanα=hx tan45° =6540.6165 tan45° =6540.6165 1=24.383=24.3835 m
x=40.6165=40.6165 m

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