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.