The height reached by the ladder of height 20-ft. inclined at 72° is approximately 19.02-ft.
Length of the ladder = 20 feet
Angle between the ground and ladder = 72°
Height reached by the ladder = Required
From the definition of the sine of an angle, we have;
The length of the ladder = The hypotenuse side = 20 ft.
The opposite side to the angle 72° = The height reached by the ladder
Height = 20 × sin(72°) = 19.02
Learn more about the sine of angles here:
The height of the building is 19.02 feet, for a 20-ft ladder to lean against the building at an angle of 72 degrees.
An equation is an expression that shows the relationship between two or more variables and numbers.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angle triangle.
Let h represent the height of the building, hence:
sin(72) = h/20
h = 19.02 feet
Find out more on equation at: brainly.com/question/13763238
∠GDE is supplementary to ∠DEF and also supplementary to ∠FGD
To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.
Thus for parallelogram DEFG
Thus, we have it that the condition that is most sufficient to show that quadrilateral DEFG is a parallelogram is
∠GDE is supplementary to both ∠DEF and ∠FGD
ion know but 7 :Ddfsdf
To find b, divide both sides by 0.3
b = 0.9 / 0.3
b = 3