Answer:
7.9km
Step-by-step explanation:
(a)See attached for the diagram representing this situation.
(b)
In Triangle ABC
Next, we determine the value of Angle B.
Finally, we find b.
The distance between the small plane and the observation tower is 7.9km.
841,620. 841.620. 841-620. 026,148
A = 73.84
Explanation-
14.2 - 6.4 = 7.8 (to get the length of the base without the top part)
7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)
6.4 • 5.2 = 33.28 (to find the area of the inner square)
40.56 + 33.28 = 73.84 (adding together both parts to find the total area)
A = 73.84
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
