Sun rays

If the sun's rays are at an angle 60° then famous Great Pyramid of Egypt (which is now high 137.3 meters) has 79.3 m long shadow. Calculate current height of neighboring chefren pyramid whose shadow is measured at the same time 78.8 m and the current height of the nearby Mikerinovi pyramid which at the same time throws a shadow 35.8 m long.

Result

a =  136.434 m
b =  61.984 m

Solution:

$k=137.3 / 79.3=\dfrac{ 1373 }{ 793 } \doteq 1.7314 \ \\ A=180/\pi \cdot \ \arctan(137.3/79.3)=180/3.1416 \cdot \ \arctan(137.3/79.3) \doteq 59.9907 \ \\ a=k \cdot \ 78.8=1.7314 \cdot \ 78.8 \doteq 136.4343 \doteq 136.434 \ \text{m}$

$b=k \cdot \ 35.8=1.7314 \cdot \ 35.8 \doteq 61.9841 \doteq 61.984 \ \text{m}$

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