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?

Question

06-01-2022
Mathematics

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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?

Sagot :

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abidemiokin abidemiokin · Answer 1 · 2022-01-13T05:26:29-05:00

The statute is about 80 feet tall

Similar triangles;

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

Get the height of the status

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: https://brainly.com/question/2644832

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?​

Sagot :

Similar triangles;

Get the height of the status

Other Questions

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?