Question

I need this quick

Shilpi wanted to find out how tall a tree was at her school ground. Shilpi is 5 feet tall and at 3:00 pm her shadow was 7.5 feet tall. The tree's shadow at 3:00 pm was 57 feet tall. How tall is the tree?

Answer 1

Answer:

• The tree is 38 feet tall.

Step-by-step explanation:

Given that:

• Shilpi is 5 feet tall and at 3:00 pm her shadow was 7.5 feet tall.
• The tree's shadow at 3:00 pm was 57 feet tall.

To Find:

• How tall is the tree?

Let us assume:

• The tree is x feet tall.

Concept:

Shilpi and the tree both are in the same plane and as the timing are same, the angle substended by the rays of sun are same for both. Therefore, the ratio of height of shilpi and her shadow will be equal to the ratio of tree and its shadow.

Finding the height of tree:

⇒ 5 : 7.5 = x : 57

⇒ or, 5/7.5 = x/57

Cross multiplication.

⇒ 7.5 × x = 5 × 57

⇒ 7.5x = 285

⇒ x = 285/7.5

⇒ x = 38

∴ The height of tree = 38 feet

Answer 2

Given :-

Shilpi wanted to find out how tall a tree was at her school ground. Shilpi is 5 feet tall and at 3:00 pm her shadow was 7.5 feet tall. The tree's shadow at 3:00 pm was 57 feet tall.

To Find :-

Length of tree

Solution :-

Let the length be x

It is in proportion

$\sf \dfrac{5}{7.5} =\dfrac{x}{57}$

$\sf 5 \times 57 = 7.5 \times x$

$\sf 285 = 7.5x$

$\sf \dfrac{285}{7.5} = x$

$\sf 38 = x$