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3 years ago

11

Please Help Find the indicated side of the right triangle

2 answers:

andrew11 [14]3 years ago

7 0

Answer:

3 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 60 = x/3

3 tan 60 = x

3 sqrt(3) = x

vladimir2022 [97]3 years ago

4 0

Answer:

x = 3 $\sqrt{3}$

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , then

tan30° = $\frac{opposite}{adjacent}$ = $\frac{3}{x}$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

x = 3 $\sqrt{3}$

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A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

Does the function ƒ(x) = 7x + 3 represent exponential growth, decay, or neither?

bearhunter [10]

Answer:

Neither

Step-by-step explanation:

This is a linear function as opposed to an exponential function as there are no x terms in higher powers.

4 0

3 years ago

Find angle GEH, which is located inside inscribed hexagon ABCDEF.

Zinaida [17]

Answer:

60°

Step-by-step explanation:

Angle GHE = (360/6) ÷ 2 = 30

GEH = 180 - 90 - 30 = 60°

7 0

3 years ago

Please please help me!! i don’t know how to figure this out

MissTica

Answer:

31.41592...

Step-by-step explanation:

If the radius of the circle is 10 inches, the circle's circumference is 31.4 because you calculate circumference as follows:

x = r * pi (3.1415926535)

7 0

3 years ago

How do I solve <br> 2.75 + 0.003 + 0.158

nikklg [1K]

2.750 + 0.003 + 0.158

= 2.753 + 0.158

<span>= 2.911</span>

6 0

3 years ago

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