The Angle HCA is equal to 52°. This is arrived at using the knowledge of the Total value of Angles in a Triangle and the Total Value of Angles in a Polygon.
<h3>
What other principles were used to arrive at the answer?</h3>
The other principles of mathematics that were used to arrive at the above answer are:
- Total Angles on a straight line;
- Total Angles on a point; and
- Line segments.
<h3>What are the Steps to the Solution? </h3>
Step 1 - Recall that we have been given Angles AHB and BAH to be 128° and 28° respectively.
We also know that:
- The sum of angles in a triangle is 180°;...................A
- The sum of angles on a straight line is 180°;.........B
- The sum of angles in a polygon is 360°; while.....C
- The total sum of angles at a point is 360°.............D
Since A...therefore:
When ∠AHB (128°) and ∠BAH are taken from 180° we have DBA = ∠28°.
By observation, we can deduce that ∠BDE, ∠CDH, ∠CEH and ∠AEH are all right-angled triangles.
Using the above, we are able to repeat this process of solving for each angle until we have ∠HCA.
To verify that our answer is correct, recall that sum of angles in a polygon is 360°
That means:
∠BDA + ∠DHE + ∠CEH + ∠HCA = 360°
That is, 90+ 128 + 90 + 52 = 360°
See attached images and;
Learn more about Angles in a Triangle at:
brainly.com/question/25215131
#SPJ1
In determining safe speed of a vessel we must consider visibility, traffic density etc.
<h3>What is safe speed?</h3>
The safe speed of a vessel is the maximum speed the vessel can be operated to avoid hazards such as collision, damage of vessel, etc.
<h3>Factors considered when determining safe speed of vessels</h3>
In determining safe speed of a vessel we must consider the following factors such as;
- Weather condition, eg visibility
- Traffic density,
- Background light at night, etc
Thus, in determining safe speed of a vessel we must consider visibility, traffic density etc.
Learn more about safe speed here: brainly.com/question/6504879
60because 5x60= 120. Multiple by 60
60minutes