# 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:

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

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