Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
Answer:
second option
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Simplifying the radicals

= 
=
×
×
× 
= 3 ×
× x × 
= 3x
-------------------------------

= 
=
×
×
× 
= 2 ×
× x × 
= 2x
---------------------------------------
Thus
3 × 3x
- 2 × 2x
= 9x
- 4x
= 5x
Answer:
54
Step-by-step explanation:
8^2=64
64-8=56
56-2=54
I hope this is right
Answer:
x=10
Step-by-step explanation:
4x-18=3x-8
4x-3x=-8+18
x=10
Answer:
12.7
Step-by-step explanation:
12.7
Basically u are gonna wanna use pythagoras first
BC = √(12^2 - 6^2) = √(144 - 36) = √(108) = 10.39230485
Also the Side Angle Side rule comes into play use the following
BC/sin(55) = CD/sin(90) <----- angle
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD