Answer:
x = 65 degrees
Step-by-step explanation:
x° + x° + 50° = 180°
2x + 50° = 180°
2x = 180° - 50°
2x = 130°
x = 130°/2
x = 65°
The product is 1,127.98853 ⇨ 5 digits follow after the decimal point. Hope that helps
Answer:
C: one triangle
Step-by-step explanation:
well a triangle = 180°
45+45=90
90+90=180
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
