Answer:
a=69
b=133
c=116
d=93
e=86
Step-by-step explanation:
<u>first start by finding angle a:</u>
angles in a triangle add up to 180 so we can simply do 180 - 40 - 71 = 69
<u>to find b:</u>
b is on a straight line so we can do 180 - 133 = 47
<u>to find d:</u>
d is part of the small triangle on the right of the diagram, we do not know one of the angles but because it is on a straight line we can do 180-140 = 40. Now to find d we can do 180 - 47 - 40 = 93
<u>to find e:</u>
i'm assuming the large triangle containing e is isosceles so we can do 180 - 2x47 = 86
therefore c is 116 as its the only answer left - hope this helps
Answer:
d = 6
Step-by-step explanation:
Given the coordinates A(4, 6) and B(d, 12) with the gradient of AB to be 3
Gradient m = y2-y1/x2-x1
Substitute the given values
3 = 12-6/d-4
3 = 6/d-4
Cross multiply
3(d-4) = 6
Expand
3d - 3(4) = 6
3d - 12 = 6
Add 12 to both sides
3d - 12 + 12 = 6 + 12
3d = 18
Divide both sides by 3
3d/3 = 18/3
d = 6
Hence the value of d is 6
Answer:
5/7
Step-by-step explanation:
You find a slope by using the equation y2-y1/x2-x1.
In this case: 15-5/21-7
10/14
5/7
Answer:
26,167 m
Step-by-step explanation:
Step 1: Find the other angle of the complementary set
90 - 17 = 73°
Step 2: Find the angle of elevation from the ship
180 - (73 + 90) = 17°
Step 3: Use tan∅ to find distance
tan17° = 8000/x
xtan17° = 8000
x = 8000/tan17°
x = 26166.8
