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slava [35]
3 years ago
8

You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of

an angle and its supplement as x° and (180 − x)°. Use these expressions to find the measures of the angles described.
The measure of an angle is equal to twice the measure of its supplement.

The measure of the angle is
° and the measure of its supplement is
°.
Mathematics
2 answers:
pashok25 [27]3 years ago
7 0

Answer:

120;60

Step-by-step explanation:

The measure of an angle is equal to twice the measure of its supplement.

This means that x = 2(180-x)

<em>Simplify</em>

x = 360 -2x

<em>Isolate the variable</em>

3x = 360

x = 120

This makes its supplement 60

Sunny_sXe [5.5K]3 years ago
3 0
The answer for this is 120
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Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees

Read more about bearings at:

brainly.com/question/24142612

#SPJ1

4 0
2 years ago
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