(1) See below for a diagram. Basically, the distance on the ground from the person to the building (34 ft) is adjacent to the angle of elevation (74 degrees) and the height of the building (labeled h in the diagram) is the side opposite the angle. Since we are dealing with opposite and adjacent we use the tangent of the angle and tan = opp/adj
Specifically,


<span class="_wysihtml5-temp-placeholder"></span>

feet.
Please be sure your calculator is set to degrees (not radians) when you do this problem.
(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.
sin = opp/hyp. As the sin Q = 9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.
cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.
You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.
The answer to that would be “169”
Add 2 to both sides...x>3
34 + x = 63
x = 63-34
x = 29
The volume of the room is: 1840 ft^3
Step-by-step explanation:
The volume is the capacity of a given figure.
Given
Width = w = 23 feet
Depth = d = 10 feet
Height = h = 8 feet
The formula for volume is:

The volume of the room is: 1840 ft^3
Keywords: Volume, Box
Learn more about volume at:
#LearnwithBrainly