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On the grid provided, draw the graph of y = 50x. Daudi was standing on a balcony. He observed a ball on the ground, 47 m from the foot of the building. The angle of depression of the ball from Daudi's position was 15°. Calculate the height from the ground to where Daudi was.
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Answer
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| Point | x | y |
|---|---|---|
| x-intercept | 0 | 0 |
Step-by-step solution
8 stepsHere are the solutions for the problems.
1. Completing the table and drawing the graph for .
Part a· 2 steps
Complete the table using the equation .
Substitute the given values into the equation to find the corresponding values.
- For :
- For :
Fill in the table with the calculated values.
Part b
On the grid provided, draw the graph of .
Plot the points from the completed table on the grid
$(0,0)$, $(0.5, 25)$, $(1, 50)$, $(1.5, 75)$, and $(2, 100)$.
Draw a straight line connecting these points.
The line should pass through the origin $(0,0)$ and extend to the last plotted point $(2,100)$.
2. Calculating the height of Daudi's position.
Identify the known values and the unknown.
- Horizontal distance from the foot of the building to the ball (adjacent side) = 47 m.
- Angle of depression = . This is equal to the angle of elevation from the ball to Daudi's position.
- Height from the ground to Daudi's position (opposite side) = .
Use the tangent trigonometric ratio, which relates the opposite side, adjacent side, and the angle.
Solve for .
Round the height to a suitable number of decimal places (e.g., two decimal places).
2 zimekamilika. Zimebaki 3 leo — tuma inayofuata.
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