What is the length of ? round to the nearest tenth. 9. 7 m 10. 4 m 37. 3 m 38. 6 m.
1 answer:
The length of x to the nearest tenth is; D: 38.6 m
<h3>Trigonometric ratios</h3>The image of the triangle is missing and so i have attached it.
From the image attached, we can find the value of x by using trigonometry ratio.
We see that;
- AB = x
- AC = 10
- ∠BAC = 75°
Thus;
10/x = cos 75
10/x = 0.2588
x = 10/0.2588
x = 38.64 m
Approximating to the nearest tenth gives;
x = 38.6 m
Read more about trigonometric ratios at; brainly.com/question/13276558
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Based on the construction, the length of the bridge deck is given by r = √(x² + y²) units.
<h3>What is a deck?</h3>A deck is also referred to as the roadway and it can be defined as the functional area which is designed and developed to allow automobile vehicles and pedestrians to cross highways, valleys, and water bodies.
In order to determine the length of the bridge deck, we would apply Pythagorean's theorem as follows:
r² = x² + y²
<u>Where:</u>
- r is the length of the bridge deck.
- a is the adjacent side (horizontal distance).
- b is the opposite side (rise of the bridge).
Making r the subject of formula, we have:
r = √(x² + y²)
Read more on Pythagorean theorem here: brainly.com/question/16176867
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