Answer:
77 m (nearest metre)
Step-by-step explanation:
<u>Angle of Elevation</u>
If a person stands at a point and looks up at an object, the angle between their <u>horizontal line of sight</u> and the <u>object</u> is called the angle of elevation.
To find how tall the flagpole is, model as a right triangle and solve using the tan trigonometric ratio.
<u>Tan trigonometric ratio</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given information:
- Person height = 1.6 m
- Horizontal distance (from person to flagpole) = 35 m
- Angle of elevation = 65°
Therefore:
- = 65°
- O = height of flagpole <u>less</u> height of person
- A = 35 m
As the person is 1.6 m tall, we model the line of sight as 1.6 m <u>above ground level</u>. Therefore, when calculating the height of the flagpole, we will need to add the height of the person to the value found using the trig ratio.
Substitute the given values into the formula and solve for O:
Therefore the height of the flagpole is:
Learn more about Angles of Elevation here:
brainly.com/question/27933160
Answer:
{-3, 2}U{2, 5}
Step-by-step explanation:
For an equation to be negative, it would need to be in a negative range (below the x-axis or the coordinates are negative y-values). Therefore, we can examine this question and see that the graph is negative when the function crosses the x-axis at -3 and it remains negative until you reach 2 on the x-axis.
Therefore, the first set of negative values is (-3, 2).
Secondly, applying the same logic as before, the function decreases at 2 and then touches the x-axis again at 5. Therefore, the second negative value would be (2, 5).
The negative values are {-3, 2}U{2, 5}.
Answer: The 3rd option
Step-by-step explanation: f(x) aka 5 is = to x aka 2+3 (2+3=5)
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Which one are you talking about in the page?
Answer:
The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.
Step-by-step explanation:
The 2016 season schedule has been announced and Texas is sure to have a cross-town rival with the Mesquite Marshals who are one of three expansion teams entering the CIF this year. The Marshals get to visit the Allen Event Center twice where the Revolution haven’t lost since 2014. Meanwhile, Texas will reciprocate the 2-2 series with two visits to the historic Mesquite Rodeo Arena in 2016, but will have to visit familiar foes in the Wichita Force and the Dodge City Law to maintain their championship figure.
