Question

the angle of elevation of the top of cliff as seen from the top and bottom of the building of 45 degree and 60 degree respectively if the height of the building is 24 cm find the height of the Cliff

Answer 1

hop you will understand it

Answer 2

Dear Student,

◆ Answer -

Height of the Cliff = 56.79 cm

● Explanation -

Let x be horizontal distance between building and a cliff.

Then,

tan45° = h1/x

h1 = x.tan45°

h1 = x × 1

h1 = x

Also,

tan60° = h2/x

h2 = x.tan60°

h2 = x × 1.732

h2 = 1.732x

Subtracting,

h2 - h1 = 1.732x - x

24 = 0.732x

x = 24 / 0.732

x = 32.78 cm

Height of building is -

h2 = 1.732x

h2 = 1.732 × 32.78

h2 = 56.79 cm

Hence, the height of the cliff is 56.79 cm.

Thanks dear. Hope this helps you...