Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
Answer:
A circle, a triangle, a square, rectangle, and a lot more
Step-by-step explanation:
Answer:x=−9
Step-by-step explanation:
Apply the distributive property.
3 x + 3 ⋅ 1 − 2 x = − 6
Multiply 3 by 1
.
3 x + 3 − 2 x = − 6
Subtract 2x from 3x.
x + 3 = − 6
Move all terms not containing x to the right side of the equation.
Subtract 3 from both sides of the equation.
x = − 6 − 3
Subtract 3 from − 6 .
x = − 9
Answer:
C. 84
Step-by-step explanation:
₉C₆ = 84