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
To find the mean, you must add all of the value and then divide by how many there were so
(9+12+10+8+11+12+13+6)/8
81/8
10.125 inches
45x +40(x+0.5) =270
45x +40x +20 =270
85x = 250
x = 250/85 = 2.94
45 * 2.94 = 132.3 miles
40*(2.94 +0.5) = 40*3.44 = 137.6
2.94 hours
Answer: it would be 12.
Step-by-step explanation:
