Mast angles and height

Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast.

Correct answer:

h =  13.6558 m

Step-by-step explanation:

α=11  β=28  y1=10 m  tan β = y1:x  x=y1/tanβ=y1/tan28° =10/tan28° =10/0.531709=18.80726 m tan α = y2:x  y2=x tanα=x tan11° =18.8073 tan11° =18.8073 0.19438=3.65576 m  h=y1+y2=10+3.6558=13.6558 m



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