Respuesta :

The distance of the fire from Killarney is 400m

How to determine the distance

From the information given , we have the following deductions:

  • height of the helicopter, adjacent side of the triangle is 850m
  • Angle of depression , θ is 25°
  • Distance of fire from Killarney, opposite side is 'x' m

Now, let's use the tangent identity

tan θ = opposite/ adjacent

Substitute the values into the formula

tan 25 = x/ 850

Find the value of tan 25 and add into the equation:

0. 4663 = x/ 850

Cross multiply

x = 850 × 0. 4663

x = 396. 36 m

We know that the distance of the fire from Killarney is designated 'x' and the value of 'x' is 396. 36m

Rounding the number to the nearest whole number gives 400m

Thus, the distance of the fire from Killarney is 400m

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