# Lighthouse

Marcel (point J) lies in the grass and sees the top of the tent (point T) and behind it the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the sea - length of |P'M| .

Result

x1 =  135 m
x2 =  165 m

#### Solution:

$5 / 1.2=x_{1} / 36 \ \\ \ \\ x=36 \cdot \ \dfrac{ 5 }{ 1.2 }=150 \ \text{m} \ \\ m=15 \ \text{m} \ \\ \ \\ x_{1}=x - m=150 - 15=135 \ \text{m}$
$x_{2}=x+m=150+15=165 \ \text{m}$

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