In this right triangle:
Hypotenuse = 6
x is a adjacent leg to the angle 30⁰.
cos α = adjacent leg/ hypotenuse
adjacent leg = hypotenuse * cos α
x = 6*cos 30⁰ = 6*√3/2 = 3√3
x=3√3
Answer is A.
Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
A) Parallelogram and Rectangle
Step-by-step explanation:
A parallelogram has two pairs of parallel sides. Because a rectangle has two pairs of parallel sides AND 4 right angles, the first option is correct.
Answer:
18 is greater than 16
Step-by-step explanation:
Answer: 40 by 60
Step-by-step explanation:
You are given a scale of 1 inches=20 ft
For the 2 inch dimension, you get:
2*20=40
For the 3 inch dimension, you get:
3*20=60
Therefore, the real dimensions of the doctors office from 2 in. by 3 in. are respectively 40 ft, by 60 ft.
Hope this helped!