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vagabundo [1.1K]
3 years ago
5

Witch one is this the answer for I have a lot more questions so stick around if you can help me

Mathematics
1 answer:
tatiyna3 years ago
4 0

-70.04 B would be the correct one

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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
2 Proofs. Don't forget to mark the
noname [10]

Answer:

Statement #1. JK is congruent to LK, JM is congruent to LM

Reason #1. Given

Statement #2. KM=KM

Reason #2. Reflexive property of equality

Statement #3. Triangle KMJ is congruent to triangle KML

Reason #3. Side, Side, Side triangle congruency theorem.

Statement #4. <J is congruent to <L

Reason #4. Corresponding angles of congruent triangles are congruent.

Step-by-step explanation:

8 0
3 years ago
A duck swims at a speed of 1 meter per second. How long does it take for it to cross a 50 meter wide pond?
Paul [167]

Answer:

50 seconds.

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
Read 2 more answers
Given that lines b and c are parallel, select all that apply. Which pairs of angles are congruent?
Damm [24]

hence the answer for the question is 1 and 4

3 0
3 years ago
Read 2 more answers
Nvm <br>I don't need help
Snowcat [4.5K]

Answer:

ok

Step-by-step explanation:

5 0
1 year ago
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