Ladder makes a right triangle with the wall and ground. The hypotenuse = length of the ladder = 10 ft
Let the height be h
By Pythagorean theorem
10^2 = 3^2 + h^2
h^2 = 10^2 - 3^2 = 100 - 9 = 91
h = sqrt( 91) = 9.54 ft
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
12.5=5x-3 1/3
5x=12.5+3 1/3
5x=15 5/6
5x=95/6
x=95/30 or simplied x=19/6
Answer:
B. 70°
Step-by-step explanation:
If this is an equilateral triangle, then each angle is 180/3 = 60
<A = 60 = x+3x+2x
60 = 6x
60/6 = 6x/6
10 =x
Angle B will also equal 60 degrees
BDA + x + B = 180
BDA + 10 + 60 = 180
BDA + 70 = 180
BDA = 180-70
BDA = 110
BDA and y are complementary angles since they form a straight line
BDA + y = 180
110 +y =1 80
y = 180-110
y = 70
