Suppose
h=height of street light
x=distance of woman from pole, 20-x=distance of man from pole
tan 24=x/h=0.445
tan 28=(20-x)/h=0.532
re-arranging the above we get:
x=0.445h
20-x=0.532h
thus the value of h will be given by:
20=0.977h
hence
h=20.5 ft
substituting the values we get:
x=woman's position =9.1 ft from the pole and the man is 10.9 ft away.
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
Answer:
(a) a ≈ 22.7 meters, (b) c ≈ 10.6 meters, (c) ∠A = 65°
Step-by-step explanation:
assuming side a/c is side BC/AB since it's opposite of angle A/C
(a) SOH CAH<em>(cos = </em><em>adjacent side/hypotenuse</em><em>)</em> TOA
=> cos (25°) = BC/AC or a/b
=> cos (25°) = a/25
=> a = cos (25°) × 25
=> a ≈ 22.7
(b) SOH<em>(sin = </em><em>opposite side/hypotenuse</em><em>)</em> CAH TOA
=> sin (25°) = AB/AC or c/b
=> sin (25°) = c/25
=> c = sin (25°) × 25
=> c ≈ 10.6
(c) 180° - 25° - 90°(the right angle) = 65°
Answer:
y = 3x - 9
Step-by-step explanation:
First, find the slope using y2 - y1 / x2 - x1
36 - 21 = 15
15 - 10 = 5
15/5 = 3, so the slope (m) is 3.
Now, plug into point-slope form: y - y1 = m (x - x1)
y - 21 = 3 (x - 10)
Simplify
y - 21 = 3x - 30
y = 3x - 9
I hope this helps!!
(2,2) is the answer because the two lines intersect at the point (2,2)
