Which scale drawing of a triangle was created by using a scale factor of One-fourth, if the original right triangle has a height of 16 cm and a base length of 12 cm? (The figures below are not drawn to scale.) A triangle with base 3 centimeters and height 4 centimeters.
A triangle with base 3 centimeters and height 2 centimeters.
A triangle with base 6 centimeters and height 8 centimeters.
A triangle with base 12 centimeters and height 9 centimeters.

The First on I believe

salary

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west