Question

PLz help..Worth 25 pts.

The furthest angle of elevation to the top of the steeple was 20 degrees and the closest angle elevation to the church was 29 degrees. Each person is 1.7 meters tall from his feet to his eyeballs. Find the measure of angle ACB. (Hint: Find the measure of angle ABC first).


151 degrees


9 degrees


171 degrees


20 degrees

Answer 1

The angle ACB is 9 degrees.

Explanation:

To solve this problem we just need to observe the point B, which has two angles and both of them are on a straight angle, this means that the sum of angle ABC and CBD is 180, that is

`\angle ABC + \angle CBD = 180\°`

We know that
`\angle =29\°`, then

`\angle ABC+29=180\\\angle ABC=180-29=151`

Now, in the triangle ABC, we know that all three angles must sum 180

`\angle CAB + \angle ABC + \angle BCA = 180\\20+151+ \angle BCA = 180\\\angle BCA = 180-20-151\\\angle BCA = 9=\angle ACB`

Therefore, the angle ACB is 9 degrees.

Answer 2

See the attached picture:

The answer is 9 degrees.