Answer:
approx. 24.6 ft
Step-by-step explanation:
x=the distance of the fire from the base of the tower
200ft=the height of the tower
7 degrees=the angle of depression
Using these values you can draw a diagram that highlights that you need to use trig. to work out the answer.
Using Tan:
Tan 7=x/200 ft
multiply both sides by 200 ft
200*tan 7=24.55691218
approx. 24.6 ft
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

⇒
⇒
⇒
⇒
Thus, the length of altitude is: 12 cm.
Now, 
⇒
⇒
Also, 
⇒
⇒
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
X=6
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