Answer:
The ladder reach a height 8.485 ft.
Step-by-step explanation:
The ladder with the building made right angle triangle
The length of the ladder is the hypotenuse 12 ft.
The angle between the ladder and the building is 45°
The height of the ladder reach is the vertical side of the Δ
∴ h = 12 cos 45° = 6√2 = 8.485 ft.
Tan T = UV/VT
UV = VT tan T = 40 tan 54
UV = 55.055 ft —> 55.1ft
Answer:
34489
Step-by-step explanation:
The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
Answer:
D) 45 ft
Step-by-step explanation:
The two triangles are shown below.
Given:
BC = 60 ft, CD = 24 ft and DE = 18 ft.
Since, the two triangles are similar, their corresponding sides are in proportion.
So, ![\frac{AB}{DE}=\frac{BC}{CD}=\frac{AC}{CE}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BBC%7D%7BCD%7D%3D%5Cfrac%7BAC%7D%7BCE%7D)
Now, consider the proportion of sides,
![\frac{AB}{DE}=\frac{BC}{CD}\\AB=\frac{BC}{CD}\times DE\\AB=\frac{60}{24}\times 18\\AB=\frac{60\times 18}{24}=45\ ft](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BBC%7D%7BCD%7D%5C%5CAB%3D%5Cfrac%7BBC%7D%7BCD%7D%5Ctimes%20DE%5C%5CAB%3D%5Cfrac%7B60%7D%7B24%7D%5Ctimes%2018%5C%5CAB%3D%5Cfrac%7B60%5Ctimes%2018%7D%7B24%7D%3D45%5C%20ft)
Therefore, the distance between A and B is 45 ft.