1.

That shadow of atower standing on a levelGround is found to be 40 meter longer when the sun altitude is 30⁰ than when it is was 6o⁰find height of tower

Answer»

Answer:

<klux>20</klux> \sqrt{3}   \: m

Step-by-step explanation:

let H be the height of the tower . x mand (x + 40 ) m be the length of the SHADOW at 30° and 60° altitude, respectively.

for sun at 30° altitude ,

h  = \sqrt{3} x

for sun at 60° altitude,

x \:  +  \: 40 = h \:  \sqrt{3}

now , PUT the value of h in equation.

now, x + 40 = 3x

40 = 2X

x = 20 m

thus,

h \:  = 20 \sqrt{3 \: } m



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