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aliya0001 [1]
2 years ago
8

The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee

n the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole

Mathematics
2 answers:
Alex73 [517]2 years ago
6 0

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

kvv77 [185]2 years ago
3 0

Answer:

The height of the flag pole = 6\sqrt{10} feet

Step-by-step explanation:

Let us consider, the length of the shadow = x

According to the question,

The length of the flag pole = 3 times length of the shadow.

                                             = 3x

From the figure, By "Pythagoras theorem",

       x^{2} + (3x)^{2} = 20^{2}\\

          x^{2} + 9x^{2} = 400

                 10x^{2} = 400\\    x^{2} = 40\\         x  = \sqrt{40} \\         x  = 2\sqrt{10}

So, The length of flag pole = 3\times x

                                             = 3\times2\sqrt{10} = 6\sqrt{10} feet

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