Question

. A man observes the angle of elevation of the top of a tower to be 45°. He walks towards
it in a horizontal line through its base. On covering 20 m, the angle of elevation changes
to 60°. Find the height of the tower correct to 2 significant figures.
(2019)​

Answer 1

QUESTION ⤵️

A man observes the angle of elevation of the top of a tower to be 45°. He walks towards

it in a horizontal line through its base. On covering 20 m, the angle of elevation changes

to 60°. Find the height of the tower correct to 2 significant figures.

ANSWER ⤵️

tan60 = Height/base

tan45 = Height/20+base

tan(60)= ✓3

tan(45)=1

height=base×✓3

height=20+base

Soloving equations simultaneosly:

Height = 47.32 m

${\huge{\boxed{\mathcal{\pink{hope \: it \: helps}}}}}$

Answer 2

ANSWER ⤵️

tan60 = Height/base

tan45 = Height/20+base

tan(60)= ✓3

tan(45)=1

height=base×✓3

height=20+base

Soloving equations simultaneosly:

Height = 47.32 m