1)
∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰
AB = 370 m
AC = 510 m
To find BC we can use cosine law.
a² = b² + c² -2bc*cos A
|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)
|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =
|BC| ≈ 553 m
2)
To find ∠ACB, we are going to use law of sine.
sin(∠BAC)/|BC| = sin(∠ACB)/|AB|
sin(76⁰)/553 m = sin(∠ACB)/370 m
sin(∠ACB)=(370*sin(76⁰))/553 =0.6492
∠ACB = 40.48⁰≈ 40⁰
3)
∠BAC = 76⁰
∠ACB = 40⁰
∠CBA = 180-(76+40) = 64⁰
Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰
4)
Shortest distance from A to BC is height (h) from A to BC.
We know that area of the triangle
A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).
Also, area the same triangle
A= (1/2)|BC|*h = (1/2)*553*h.
So, we can write
(1/2)*370*510*sin(76⁰) =(1/2)*553*h
370*510*sin(76⁰) =553*h
h= 370*510*sin(76⁰) / 553= 331 m
h=331 m
Answer:
1/2ft
Step-by-step explanation:
15/28=(5/7)(1 1/2)(w)
15/28=(5/7)(3/2)w
15/28=(15/14)w
(15/28)/(15/14)=w
(15/28)*(14/15)=w
w=14/28
w=1/2 ft
The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>
The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:
The actual distance between the store and the dungeon is 4 kilometers.
This means that:
So, we have:
Represent the required actual distance with x.
So, we have:
Express as fraction
Multiply both sides by 17
Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at:
brainly.com/question/24579126
Closed dot on 53, arrow going to the right
Answer:
48
Step-by-step explanation:
24 ÷ v x k
24 ÷ 2 x 4
(Since it's multiplication and division, you just go from left to right in order)
12 x 4
48
