Opposite 78434

We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree?

Correct answer:

h =  19.83 m

Step-by-step explanation:

α=15  a=41 m β=31   tan β = h : r tan α = h : (r+a)  tan β : tan α = (r+a) : r = k  k=tanβ/tanα=tan31° /tan15° =0.600861/0.267949=2.24244  r+a=r k r+41=r 2.2424423584781  1.242442r=41  r=1.2424423641=32.99951883  r=32.999519  h=r tanβ=r tan31° =32.9995 tan31° =32.9995 0.600861=19.83=19.83 m

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