Question

) A staircase of steps in a swimming pool has a vertical rise of 10 inches per step and a landing of 14 inches. Answer the following questions showing each step of your work:

a) What is the angle of elevation (rounded to the nearest whole degree)?


b) If the landing of each step is changed to 17 inches and the elevation of each step to 13 inches, what is the new angle of elevation for the staircase (rounded to the nearest whole degree)?

Answer 1

a) 36°

b) 37°

Explanation:

turned in the project already :)

Answer 2

a) 36°

b) 37°

Explanation:

Angle of elevation formula:
`tan(\theta)=(y)/(x)`

where
`\theta` is the angle of elevation, y is the vertical distance (rise) and x is the horizontal distance.

a) Given:

• 
  `x=14`
• 
  `y=10`

`\implies tan(\theta)=(10)/(14)`

`\implies \theta=tan^(-1)\left((10)/(14) \right)`

`\implies \theta=36 \textdegree \ \ \textsf{(neareast whole degree)}`

b) Given:

• 
  `x=17`
• 
  `y=13`

`\implies tan(\theta)=(13)/(17)`

`\implies \theta=tan^(-1)\left((13)/(17) \right)`

`\implies \theta=37 \textdegree \ \ \textsf{(neareast whole degree)}`