What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°
1 answer:
The complete question is
"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
16.7°, 17.5°, 72.5°,73.3°"
The value of angle x would be 16.7 degrees.
<h3>What is the right triangle?</h3>A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
The angle of a right angle is always 90 degrees.
In order to find the value of x, a tan would be used.
This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.
Tan Ф = opposite / adjacent
Tan Ф = (3/10)
= 16.7 degrees
The value of angle x would be 16.7 degrees.
Learn more about a right angle;
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Answer:
x = 9.4
Step-by-step explanation:
(see attached for reference on cosine rule)
by cosine rule
x² = 8² + 15² - 2(8)(15) cos 33°
x² = 64 + 225 - 201.281
x² = 87.719
x = √87.719
x = 9.366
x = 9.4 (nearest tenth)
