Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Answer:
Step-by-step explanation:
To find the height of the kite, we can use trigonometry, specifically the sine function, since we have the angle of elevation and the length of the string (which acts as the hypotenuse of a right triangle formed with the ground).
Given:
- Angle of elevation (\( \theta \)) = 25°
- Length of the string (hypotenuse) = 100 ft
Let \( h \) denote the height of the kite above the ground.
According to trigonometry:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
In this case:
\[ \sin(25^\circ) = \frac{h}{100} \]
Now, solve for \( h \):
\[ h = 100 \cdot \sin(25^\circ) \]
Calculate \( \sin(25^\circ) \):
\[ \sin(25^\circ) \approx 0.4226 \]
Now, calculate \( h \):
\[ h \approx 100 \cdot 0.4226 \]
\[ h \approx 42.26 \]
Rounded to the nearest hundredth, the height of the kite is approximately \( \boxed{42.26} \) feet.
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
