Ratio with two equivalent measurements would be 1
The model shows 5x-9=-3x+20
Solve for x:
5x-9=-3x+20
5x=-3x+29
8x=29
x=29/8
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
Answer:
Yes
Step-by-step explanation:
Since the longest side is 6.5 cm, so let it be hypotenuse c.
Verifying by right angle formula
c^2=a^2+b^2
(6.5)^2=(3.9)^2+(5.2)^2
42.25=15.21+27.04
42.25=42.25
Hence the given triangle is a right angles triangle
