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

⇒ $Tanx=\frac{y}{32}$

But , From tony scenario

⇒ $Tanx=\frac{5.75}{8}$

Equating both we get :

⇒ $\frac{y}{32} = \frac{5.75}{8}$

⇒ $y=\frac{5.75(32)}{8}$

⇒ $y=23ft$

Therefore , the height of the tree is 23 feet .

3 0

2 years ago

Which statements can be used to prove that ABC and A’B’C are congruent?

Nadusha1986 [10]

Answer:

O A.

Step-by-step explanation:

Option A identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.

Option B identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is not true in general.

Option C same deal as Option A.

Option D identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.

7 0

2 years ago