Answer:
Perpendicular = Y = 34.64 ft (Approx)
Base = X = 20 ft
Step-by-step explanation:
Given:
θ = 60°
Hypotenuse = 40 ft
Perpendicular = Y
Base = X
Find:
X and Y
Computation:
Sinθ = Perpendicular / Hypotenuse
Sin 60 = Y / 40
Perpendicular = Y = 34.64 ft (Approx)
Cosθ = base / Hypotenuse
cos 60 = X / 40
Base = X = 20 ft
Answer:
X=135 degrees
Step-by-step explanation:
the total interior angle of a triangle is 180.
To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.
The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.
Then to work out the angle of x you would minus 45 from `180, which gives you 135. This is because the total angle in a straight line is 180 degrees.
1) Add the angles of 69 and 66.
2) Minus 135 from 180.
3) Minus 180 from 45.
The answer to the above question can be explained as under -
We know that, the sum of angles of triangle is 180°.
So, vertex angle plus base angles are equal are equal to 180°.
Let the vertex angle be represented by "v" and base angles be represented by "b".
Thus, v + b + b = 180°
So, v + 2b = 180°
Next, the question says, the vertex angle is 20° less than the sum of base angles.
Thus, 2b - 20° = v
<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>
Answer:
$60
Step-by-step explanation:
12/8 = x/40
40(12/8) = x
60 = x
