Call the point of attachment at the top of the building point T. (Angle T = 25°) The angle N = 180° -32° -25° = 123°. The Law of Sines tells you the relationship ...
... TM/sin(N) = MN/sin(T)
... MN = TM·sin(T)/sin(N) = (200 ft)·sin(25°)/sin(123°)
... MN ≈ 100.8 ft
Answer:
(0.5, 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 13 → (1)
4x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the term in y
12x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
14x = 7 ( divide both sides by 14 )
x = 0.5
Substitute x = 0.5 into either of the 2 equations and evaluate for y
Substituting into (1)
2(0.5) + 3y = 13
1 + 3y = 13 ( subtract 1 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (0.5, 4 )
Answer:
2 solutions (- 4, 4 ) and (- 1, 1 )
Step-by-step explanation:
The solutions are at the points of intersection of the straight line and the curve.
There are 2 points of intersection , thus 2 solutions
The points of intersection are (- 4, 4 ) and (- 1, 1 ) ← solutions