See the figure attached to better understand the problem
we now that
in the triangle ABC
tan alfa=126/120----------> 1.05
alfa=arctan (1.05)-------> alfa=46.40°
in the triangle ADC
sin alfa=DC/120----------> DC=sin(46.40°)*120---------> DC=86.90 units
the answer is 86.9 units
Answer:
x = 367.1m
Step-by-step explanation:
Use the SohCahToa trigonometry ratios because this is a right triangle.
First, we need an interior angle of reference for the triangle. Because you know that angle labelled 37°, we can use <u>alternating angles</u> to find an interior angle. Alternating angles create a "Z" pattern where the two angles are equal. In this triangle, the missing angle on the left is 37° also.
According to SohCahToa, we will use the sinθ ratio (opposite/hypotenuse).
sinθ = opposite/hypotenuse Substitute values from the diagram
sin37° = x/610yd Isolate 'x'. Multiply both sides by 610 yd
x = (610yd)(sin37°) Multiply
x = 367.107...m Unrounded answer
x ≈ 367.1m Answer rounded to the nearest tenth
Therefore x is 367.1 meters.
If one box contains 12 dolls then 27 boxes will contain 324 dolls.
Answer $32,045
Step-by-step explanation: Ok, to get the rate of depreciation all we we have to do is $45 divided by $40.480 you would get 1.1116.
The rate of depreciation: 1.1116
If you do $45,000 divided by 1.1116 you'll get 40,322.
It won't be the exact same answer because you would have to divide for an hour.
Now we can skip to the important part: $35,622 divided by 1.1116 = $32,045
Therefore the truck will be worth $32,045 in 10 years!
I hope this helped
