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

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)

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

160

step-by-step explanation:

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