Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!
I need to see the diagrams to tell you.
The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
<h3>Right angle triangle:</h3>
Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
- 160.809554025 + 1.5 = 162.309554025 m
learn more on right angle triangle here; brainly.com/question/13481976
Answer:
1.55 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle R = 24°
Hypothenus = RS = 3.8 feet
Opposite = ST = x
The value of x can be obtained by using the sine ratio. This is illustrated below:
Sine R = Opposite / Hypothenus
Sine 24 = x / 3.8
Cross multiply
x = 3.8 × Sine 24
x = 3.8 × 0.4067
x = 1.55 feet
Thus, the Lenght ST is 1.55 feet.
