Answer:
A) 5 3/10
B) 785 3/20
Step-by-step explanation:
Hope this helps <3
you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!
2 1/5 + 3 1/10
5 can fit into 10 twice so it becomes...
2 2/10 + 3 1/10 which equals
<u>5 3/10</u>
472 2/5 + 312 3/4
5 times 4 is 20
472 8/20 + 312 15/20
there is a remainder of 3 for the fractions so you put it over 20.
<u>785 3/20</u>
Drawing a diagram of a triangle may be helpful. The hypotenuse is irrelevant, but the vertical leg and the horizontal leg are useful. Since we know the engineer is looking up at a 45 degree angle from a distance of 200 feet, we can label the vertical leg the "opposite", since it is on the opposite side of the angle we are given. The horizontal leg then becomes the "adjacent". You can then use trigonometry to solve for the opposite.
The options are:
sin(theta)= opposite/hypotenuse
cos(theta)= adjacent/hypotenuse
tan(theta)= opposite/adjacent
Since we don't care about the hypotenuse, the last equation is the one to use. The angle we are given can be substituted in for theta:
tan(45)= x/200
1.61977519= x/200
x= 323.955038 feet
24 is the correct answer your right
