Depth angles

At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad?

Correct answer:

y =  272.2651 m

Step-by-step explanation:

v=30 m  A=90(32+50/60)=634357.1667  B=90(30+10/60)=635959.8333   t2=tan(B)=tan(59.8333°)1.7205 t1=tan(A)=tan(57.1667°)1.5497  tan A = v+yx tan B = x:y  x = y   tan B  y   tan B / tan A = v+y y ( tan B / tan A  1) = v  y=t2/t11v=1.7205/1.5497130=272.2651 m

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