Answer:
x = 50, y = 140
Step-by-step explanation:
The angles x, 40 and 90 lie on a straight line and sum to 180° , that is
x + 40 + 90 = 180
x + 130 = 180 ( subtract 130 from both sides )
x = 50
The angle vertically opposite x is congruent to x , that is 50°
y = 90 + 50 = 140
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
Answer:
0.000104x
Step-by-step explanation:
<h3>
Therefore h = 22.75 ft</h3>
Step-by-step explanation:
We know that
Using this for the triangles
For the small triangle
Again for the bigger triangle
Therefore
ft
Therefore h = 22.75 ft