II. PROBLEM SOLVING INVOLVING SPECIAL RIGHT TRIANGLES.
1. A person is flying a kite using 40 meters of string as shown in the diagram. What is the approximate measure of the height, h, of the kite? Use a calculator, and show your calculation below. Round the height to the nearest tenth of a meter.
1. A person is flying a kite using 40 meters of string as shown in the diagram. What is the approximate measure of the height, h, of the kite? Use a calculator, and show your calculation below. Round the height to the nearest tenth of a meter.
Answers & Comments
Verified answer
Answer:
The measure of the height is 34.6 meters
To find ⟹ the height of the kite = ?
Solution ⟹ the height of the kite = h
in the triangle ABC
\sf{sin60 \degree = \frac{h}{40}}
\sf{\frac{ \sqrt{3}}{2} = \frac{h}{40}}
\sf{h = \frac{40 \sqrt{3}}{2}}
\sf{h = 34.64m ≈ \underline{34.4m}}
The height of the kite is \purple{\boxed{\boxed{\tt\pink{➢34.4m}}}}