Answer:
83 m (nearest metre)
Step-by-step explanation:
This can be modeled as a <u>right triangle</u>, where the base is 60 m and the height is the height of the building.
<u>Alternate Interior Angles Theorem (Z-angles)</u>
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.
<u>Tan trigonometric ratio</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
Given:
= 54°- O = height of building (h)
- A = 60
Substituting the given values into the formula and solving for h:




Answer:
4m
Step-by-step explanation:
m+m+m+m
There is an implied 1 in front of each term
1m+1m+1m+1m
Factor out the m
(1+1+1+1)m
4m
answer:
B. 2:6 is equal to 1:3
2 and 6 are both even so you can split both of them in half and you would get 1 and 3
We are given the total earnings of the school, $2800.
The earnings of each grade level are as follows:
2nd grade = $200
5th grade = $200
kindergarten = 2 * $200 = $400
4th grade = 2 * $200 = $400
1st grade = 3rd grade = x
The amount which is left for us to determine is the earnings of the first and third grade. This can be determined by equating all earnings to the total school earnings and let 1st and 3rd grade be the variable x:
$2800 = $200 + $200 + $400 + $400 + x + x
$2800 = $1200 + 2x
$1600 = 2x
x = $800
Therefore, 1st grade and 3rd grade earned $800 each. <span />