The measure of acute angle A to the nearest tenth of a degree is 51.2°
<h3>Measure of angles</h3>
From the given information, we are to determine the measure of the angle.
The angle we are to determine its measure is acute angle A
From the given information, we have that
sin A = 0.7793
Thus,
A = sin⁻¹(0.7793)
Using calculator
A = 51.1965°
A ≅ 51.2°
Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°
Learn more on Calculating measure of angles here: brainly.com/question/9171516
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From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:

where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that

which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
1 5/8 = 13/8
(13/8)/14 = .116 or 13/112
.116 (26) = 3.016 or 169/56
Answer:
Step-by-step explanation:

Let me start with the second screenshot :-
To find the scale factor you have to enlarge/ dilate A to get B you have a given side so assume that all sides are dilated to the same extent
: .

Thus one can say
m would be

And N would be