Corey wants to estimate the height of the statue of Stephen F. Austin in Angleton, Texas. He stands approximately 19.3 feet away

Question

3 years ago

8

Corey wants to estimate the height of the statue of Stephen F. Austin in Angleton, Texas. He stands approximately 19.3 feet away

from the statue so that his line of vision to the top and base of the statue form a right angle, as shown in the diagram. About how tall is the statue?

Mathematics

1 answer:

aniked [119] · Answer 1 · 2022-12-25T18:17:23+03:00

The statute is about 80 feet tall

<h3>Similar triangles;</h3>

In order to get the height of the statute, we will need to get the base of the bigger triangle using the similarity theorem of triangles as shown:

B/19.3 = 19.3/5

5B = 372.49

B = 372.49/5

B = 74.498

<h3>Get the height of the status</h3>

The height of teh status = B + 5

Height of the status = 74.498 + 5

Height of the status = 79.498

Hence the statute is about 80 feet tall

Learn more on similar triangles here: brainly.com/question/2644832