Answer:
181.7m
Step-by-step explanation:
The set up is a right angled triangle with;
Height of the light house = 25m = opposite side
The distance of the boat from the base = 180m = Adjacent
The distance of the light beam from the house = Hypotenuse = x
Using pythagoras theorem;
x² = 25²+180²
x² = 625+32400
x² = 33025
x = √33,025
x = 181.7m
Hence distance of the light beam from the top of the lighthouse to the ground is 181.7m to the nearest tenth
