Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. Find the height of the tree.

The ratio of the heights of Tony and the tree to the lengths of their shadow are equal.

The height of the tree is 23 feet

Reasons:

Tony's height = 5.75 feet

The length of his shadow = 8 feet

The length of the shadow of the nearby tree = 32 feet

Required:

The height of the tree

Solution:

Using common ratios formed by the similar triangles formed by the

shadows cast by the tree and Tony, we have;

Therefore, we have;

Which gives;

The height of the tree = 23 feet

Learn more about similar triangles here:

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the height of the tree is 23 feet .

Step-by-step explanation:

Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:

According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So

⇒

But , From tony scenario

⇒

Equating both we get :

⇒

⇒

⇒

Therefore , the height of the tree is 23 feet .

3.how is solving radical equations different than solving linear equations?

step-by-step explanation:

m∠a is 90°

m∠b is 40°