Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
Okay so half would be division
I know you definitely have to divide
So 128/2= 64
Answer:
36π + (18√29)π
Step-by-step explanation:
π × r² + π × r × √(r² + h²)
π × 6² + π × 6 × √(6² + 15²)
36π + (18√29)π ≈417.621
They have the same y coordinate, 8, so all we need to figure out is the distance between -12 and 2 of this horizontal line.
to do this add 12 and 2, you should get 14.
now using this information, find the expression that is equal to 14.
|-12|+|2|=14
|-12|-|2|=10
|8|+|8|=16
|8|-|8|=0
as we can see, the first expression would be the correct one.
