Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC of the figure, the tangent of angle C is equal to divide the opposite side to angle C (side AB) by the adjacent side to angle C (side BC)
so

substitute the given values

simplify

Answer:
AOB = 55°
BOC = 87°
COD = 130°
AOD = 88°
Step-by-step explanation:
AOB = a°
= 55°
BOC = b°
= 87°
COD = c°
= 130°
AOD = 360°-AOB-BOC-COD
= 360°- a° - b° - c°
= 360° - 55° - 87° - 130°
= 88°
(Correct me if i am wrong)
Answer:
x=10
Step-by-step explanation:
The whole figure is symmetric hence x=10
Answer:
Hypotenuse = 10 Cm
Step-by-step explanation:
Given:
θ = 60°
Base = 5 cm
Hypotenuse = x cm
Find:
Hypotenuse
Computation:
Cos θ = Base / Hypotenuse
Cos 60° = 5 / Hypotenuse
0.5 = 5 / Hypotenuse
Hypotenuse = 10 Cm
Answer:
Below
Step-by-step explanation:
Let x be that missing number
One third of it is x/3
One-ninth of it is x/9
Multiply x/3 and x/9
● (x/3)*(x/9) = (x^2/27)
● (x^2/27) = 108
Multiply both sides by 27
● (x^2/27)*27 = 108*27
● x^2 = 2916
● x = √(2,916) or x = -√(2,916)
● x = 54 or x = -54
So there are two possibilities 54 and -54.