Respuesta :

The length of AC from the given diagram is 14.0cm

Find the diagram attached below;

From the diagram, we need to first find the value of side AB using the SOH CAH TOA identity

Given the following

Opposite = x

Adjacent = 9cm

Angle of depression = 50 degrees

Tan theta = opposite/adjacent

Tan 50 = x/9

x =9tan 50

x = 10.73

Get the hypotenuse using the pythagpras theorem

AC = √AB²+BC²

AC = √10.73²+9²

AC = √196.04

AC = 14.00

Hence the length of AC from the given diagram is 14.0cm

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