What is the degree measure of x in this triangle?

Mathematics

1 answer:

Crank3 years ago

4 0

So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA

Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent

*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles

therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:

Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or
${(sin)}^{ - 1}$
it's basically a fancy function of most advanced calculators, so we'll plug it in as:
$x = {(sin)}^{ - 1} (0.552)$
x = 33.49° --> answer B) is correct

You might be interested in

The minimum and maximum distances from a focus to a point on an ellipse occur when that point on the ellipse is an endpoint of t

Sauron [17]

The answer is True.

Explanation:
Let a = major axis
Let b = minor axis
Let c = focal length.

Consider the right focus, located a distance c from the center of the ellipse (at the origin).
From the right focus to the right point on the major axis is equal to a-c. This is the minimum distance.
From the right focus to the left point on the major axis is equal to a+c. This is the maximum distance.

7 0

3 years ago

Read 2 more answers

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 3 : 1.

S_A_V [24]

Coordinates of point C: (1,-1)

Step-by-step explanation:

In this problem, A, B and C are collinear, and B is between A and C.

The ratio AB : BC is 3 : 1.

This means that we can write the following two equations:

$x_B-x_A = 3(x_C-x_B)\\y_B-y_A=3(y_X-y_B)$