22. A tower is 50m high. It's shadow is x m shorter when thesun's alti

1.	22. A tower is 50m high. It's shadow is x m shorter when thesun's altitude is 45° than when it is soFind x correct to the nearest 10.
Answer» let the height be h and the vertical distance be x now, tan 45=1 h/(x+80)=1 h=x+80 ___(i) tan 60=root 3 h/x=root 3 h=x root 3 ------(II) PUtting the valu of h in eq (i) x root3=80+x 1.73x-x=80 0.73x=80 x=80/0.73 therefore,x=109.5 putting the value of x in eq(i) h=109.5*1.73=189.43 m

22. A tower is 50m high. It's shadow is x m shorter when thesun's altitude is 45° than when it is soFind x correct to the nearest 10.

Answer»

let the height be h

and the vertical distance be x

now,

tan 45=1

h/(x+80)=1

h=x+80 ___(i)

tan 60=root 3

h/x=root 3

h=x root 3 ------(II)

PUtting the valu of h in eq (i)

x root3=80+x

1.73x-x=80

0.73x=80

x=80/0.73

therefore,x=109.5

putting the value of x in eq(i)

h=109.5*1.73=189.43 m