A surveyor wants to find the height of a hill. He determines that the angle of elevation to the top of the hill is 50°. He then walks 40 feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°. Find the height of
the hill (round to the nearest foot).
es

The height of  the hill is 45 feet .

Step-by-step explanation:

Refer the attached figure

Let AB be the height of hill

We are given that He determines that the angle of elevation to the top of the hill is 50°

So,

Now  He then walks 40  feet farther from the base from the hill and determines that the angle of elevation to the top of the hill is now 30°

So, CD=40 feet

BD=BC+CD=BC+40

In ΔACB

In ΔADB

So,equate 1 and 2

Substitute the value in equation 1

1.1917 (37.59)=AB

44.796=AB

Hence the height of  the hill is 45 feet .

12cm

the answer is d

answer: 72: 111

step-by-step explanation: