Answer:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
By comparing the given shape with easier ones like triangles and rectangles we will see that the area of the shape is 8 square units.
<h3>
How to simplify the shape.</h3>
So the given shape is a little bit complex, but you can actually see that it is a triangle with a base of 8 units with a height of 4 units, where a rectangle of 2 in by 3 in was removed, and also removed a triangle of height of 2 inches and base of 2 inches.
Remember that:
- A triangle of height H and base B has an area = B*H/2
- A rectangle of length L and width W has an area = L*W.
Then the area of the given shape is:
A = 8*4/2 - 3*2 - 2*2/2
A = 16 - 6 - 2
A = 8
So the given shape has an area of 8 square units.
If you want to learn more about areas, you can read:
brainly.com/question/14137384
Answer:
-47
Step-by-step explanation:
For this problem, we can use the rule "two negatives make a positive".
-81-(-34)
= -81 + 34
If you subtract 34 from 81, you find the opposite positive/negative answer.
81 - 34 = 47
Change all of the positive/negative signs:
-81 + 34 = -47
They should be 54 students who know how to salsa
Step-by-step explanation:
