From a point 25.4 m from the base, a surveyor uses a theodolite and measures the angle of elevation to the top of the cliff as 72.5 degrees.What is the height of the cliff?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The surveyor measures the top of the cliff from a point that lies at a distance of 25.4 m from the base of the cliff. The angle of elevation of the top of the cliff is 72.5 degrees.

If the height of the cliff is taken to be H, tan...

See
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Get 48 Hours Free Access

The surveyor measures the top of the cliff from a point that lies at a distance of 25.4 m from the base of the cliff. The angle of elevation of the top of the cliff is 72.5 degrees.

If the height of the cliff is taken to be H, tan 72.5 = H/25.4

=> H = 25.4*tan 72.5

=> H = 80.55

The height of the cliff is 80.55 m

Approved by eNotes Editorial Team