For this case we can model the problem as a rectangle triangle.
We have the angle between the base and the hypotenuse of the triangle.
We have the height of the triangle.
We want to calculate the base of the triangle.
For this, we use the following trigonometric relationship:

Clearing x we have:
Answer:
the shortest horizontal distance that the ramp can span is:
x = 24.02 feet
Answer:
10.39 or 10.4
Step-by-step explanation:
Since this is a right triangle, you have the formula a squared +b squared = c squared where a and b are the legs and c is the hypotenuse. You plug in the values and you should get sqrt of 108 for x.
Answer:
The measurement of the other parallel side which is the base of the parallelogram is 4.3 m
Step-by-step explanation:
Mathematically, the area of a trapezoid can be calculated using the formula below;
A = 1/2 (a + b) c
where a and b are the parallel sides and c is the height
We have one parallel sides and the height including the value of the area
Let’s say A = 13
a = 2.2m
h = 4.0 m
Plugging these values, we have;
13 = 1/2(a + 2.2) 4
26 = 4(a + 2.2)
26 = 4a + 8.8
26-8.8 = 4a
4a = 17.2
a = 17.2/4
a = 4.3 m
The length of room = 10 ft
the width = 14 ft
the height = 12 ft
there are 4 walls and the floor
one wall has area = 10*12=120 ft^2
4 walls has area = 4*120=480 ft^2
the floor has area = 10*14=140 ft^2
total area of walls and floor = 480+140= 620 ft^2
- so bc. we know that each tile is 1 foot long and 1 foot wide so what mean an area of 1 ft^2 and the total area equal 620 ft^2 so this mean that Jamie will need 620 tiles
Answer:
x = 2
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
=
=
= 2 ( multiply both sides by x + 5 )
6x + 2 = 2(x + 5)
6x + 2 = 2x + 10 ( subtract 2x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2