Find the size of angle x. 82 29 х

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

Answer:

Exterior angle= Sum of opposite angles

x= 82°+ 29°

x= 111°

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From a top-down 2D perspective, a car moves in a diagonal line and travels a distance equivalent to 80 miles. If the angle betwe

SVEN [57.7K]

We can use Pythagorean theorem for right angle triangle to solve this problem.

The diagonal line would be hypothenuze. Horizontal and vertical distance would be other two sides of a triangle.

We will use the following formulas:
$sin \alpha = \frac{opposite}{hypothenuze} \\ cos \alpha = \frac{adjacent}{hypothenuze}$
Where opposite side is vertical distance and adjacent side is horizontal distance.

Solving for these two sides we have:
$opposite = hypothenuze * sin \alpha \\ adjacent = hypothenuze * cos \alpha$

We insert numbers and we get solution:
$opposite = 80 * sin 25 = 33.8miles \\ adjacent = 80 * cos 25 = 72.5miles$

3 0

3 years ago

How do I find the x and how do I round it to the nearest tenth?

CaHeK987 [17]

Answer:

x = 19.5 ( to the nearest tenth )

Step-by-step explanation:

Since the triangle is right, we can use the cosine ratio to find x

cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{28}$