Questions: The sweptback triangular wings of an aircraft have the dimensions given in the figure shown to the right. Find the area of one wing in square feet.
The area of one wing is approximately square feet.
Transcript text: The sweptback triangular wings of an aircraft have the dimensions given in the figure shown to the right. Find the area of one wing in square feet.
The area of one wing is approximately $\square$ $\mathrm{ft}^{2}$.
Solution
Solution Steps
Step 1: Identify the given dimensions and angle
The problem provides the following dimensions for the triangular wing:
One side (base) = 33.8 ft
Height = 17.9 ft
Angle between the base and height = 61°
Step 2: Use the formula for the area of a triangle
The area \( A \) of a triangle can be calculated using the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
Step 3: Substitute the given values into the formula
Substitute the given base and height into the formula:
\[ A = \frac{1}{2} \times 33.8 \, \text{ft} \times 17.9 \, \text{ft} \]
Step 4: Perform the calculation
Calculate the area:
\[ A = \frac{1}{2} \times 33.8 \times 17.9 \]
\[ A = \frac{1}{2} \times 604.02 \]
\[ A = 302.01 \, \text{ft}^2 \]
Final Answer
The area of one wing is approximately \( 302.01 \, \text{ft}^2 \).