Depth angles

At the top of the mountain stands a castle, which has a tower 30 meters high. We see the crossroad in the valley from the top of the tower and heel at depth angles of 32° 50 'and 30° 10'. 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)=343657.1667 B=90(30+10/60)=359659.8333  t2=tan(B)=tan(59.8333)1.7205 t1=tan(A)=tan(57.1667)1.5497  tanA=xv+y tanB=x:y  x=y tanB  y tanB/tanA=v+y y(tanB/tanA1)=v  y=vt2/t11=301.7205/1.54971=272.2651 m



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