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Let's go through each of the questions in the image step by step:

1. **Basketball Player Height Qualification**  
   The coach requires players to be at least 6 ft tall.  
   Conversion from centimeters to feet:  
   \[
   1 \, \text{ft} = 30.48 \, \text{cm}
   \]  
   So, the player's height in feet is:
   \[
   \frac{180 \, \text{cm}}{30.48} = 5.91 \, \text{ft}
   \]
   Since 5.91 ft is less than 6 ft, the player does **not** qualify.

2. **Converting Yards to Meters**  
   A football field is 100 yards long.  
   Conversion factor:  
   \[
   1 \, \text{yard} = 0.9144 \, \text{meters}
   \]  
   Therefore:
   \[
   100 \, \text{yards} \times 0.9144 = 91.44 \, \text{meters}
   \]

3. **Speed Conversion: 33 m/s to mph**  
   The speed of the car is 33 m/s. To determine if it exceeds 65 mph, we first convert m/s to mph:  
   \[
   1 \, \text{m/s} = 2.23694 \, \text{mph}
   \]  
   Therefore:
   \[
   33 \, \text{m/s} \times 2.23694 = 73.82 \, \text{mph}
   \]
   Since 73.82 mph is greater than 65 mph, the car **is** exceeding the speed limit.

4. **Calculating Flagpole Height using Trigonometry**  
   We know:
   - Distance from flagpole (adjacent) = 80 m
   - Angle of elevation = 18°  
   
   Using the tangent function:  
   \[
   \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}
   \]  
   Thus, the height of the flagpole is:
   \[
   \text{Height} = 80 \times \tan(18^\circ) \approx 26 \, \text{m}
   \]

5. **Calculating Angle of Inclination for Wheelchair Ramp**  
   We know:
   - Ramp length (hypotenuse) = 4.2 m
   - Height (opposite) = 0.7 m
   
   Using the sine function:  
   \[
   \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{0.7}{4.2}
   \]  
   Solving for the angle \(\theta\):
   \[
   \theta = \sin^{-1}\left(\frac{0.7}{4.2}\right) \approx 10^\circ
   \]

Would you like further details or have any questions?

Here are some related questions to explore:
1. What would the minimum height in cm be to qualify for a basketball team that requires players to be at least 6 ft tall?
2. How many meters are there in a 120-yard-long football field?
3. What speed in m/s is equivalent to 70 mph?
4. If the angle of elevation to a flagpole were 25°, what would its height be from the same distance?
5. How long would a wheelchair ramp need to be if it rises 1 m at the same angle?

**Tip**: When solving trigonometric problems, always double-check that your calculator is set to the correct unit (degrees or radians) based on the problem.

1. A basketball coach insists that his players be at least 6 ft tall. Would a player with a height of 180 cm qualify for the team? 
2. A football field is 100.0 yards long. Express this distance in meters. 
3. A car is traveling at a speed of 33 m/s. Is it exceeding the 65 mph speed limit? 
4. From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°. Calculate the height of the flagpole to the nearest tenth of a meter. 
5. A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is its angle of inclination to the nearest degree?

Solve a variety of math problems involving unit conversions, trigonometry, and speed limits. Learn how to convert a player's height from cm to feet, calculate the length of a football field in meters, check if a car is exceeding the speed limit, determine the height of a flagpole, and find the angle of a wheelchair ramp. Suitable for high school students.

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