Question

If is believed that the best angle angle to fly a kite is 45 degrees.

If you fly a kite at this angle and let out 225 feet of string.
approximately how high above the ground will the kite be?
1)200 feet
2)150 feet
3)250 feet
4)100 feet​

Answer 1

150

Explanation:

Answer 2

2) 150 feet

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Trigonometry

• [Right Triangles Only] SOHCAHTOA
• [Right Triangles Only] sinθ = opposite over hypotenuse

Explanation:

Step 1: Identify

Angle θ = 45°

Opposite Leg = h (height)

Hypotenuse = 225

Step 2: Solve for h

1. Substitute [Sine]: sin45° = h/225
2. Isolate h: 225sin45° = h
3. Rewrite: h = 225sin45°
4. Evaluate: h = 159.099
5. Round: h ≈ 160 ft

Here we see that the closest value to 160 ft is 2) 150 feet.