Find x in the triangle below. Round your answer to the nearest tenth.

Mathematics

1 answer:

jonny [76]2 years ago

6 0

Answer:

Step-by-step explanation:

Remark

x is opposite the 90 degree angle. It is the hypotenuse.
13 makes up the 57 degree angle. It is the side adjacent.
The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

Cos(57) = 13 / x Multiply both sides by x
x*cos(57) = 13 Divide by cos(theta)
x = 13/cos(57)
x = 13 / cos(57)
cos(57) = 0.5446
x = 13/ 0.5446
x = 23.87

You might be interested in

What is the range of the function f(x) = |x| – 3?

Likurg_2 [28]

Why not draw the graph of y=|x|? It has a v-shape, and the vertex is at (0,0).

The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward. The smallest value that y can have is therefore -3.

Can you now figure out the range of f(x)?

3 0

2 years ago

Solve the equation -31=-6z-4z

jok3333 [9.3K]

<span>-31=-6z-4z
Subtract 4z from -6z
-31=-10z
Divide both sides by -10
Final Answer: 3.1 or 3 1/10</span>

8 0

2 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle

e-lub [12.9K]

<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

$sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68$