The City Sights tour company had the same ratio of tourists to guides on both days this weekend. On Saturday, there were 120 tou
1 answer:
You might be interested in
Answer: c. (1/2) bc sin A
<u>Step-by-step explanation:</u>
You can find the area of a triangle using trigonometry if you know the lengths of two sides and the measure of the included angle using the following formula:
Pls. see attachment.
We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Missing part of the question
Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)
Answer:
Step-by-step explanation:
Given
For 5 people
Using the given instance of 5 people, the number of handshakes can be represented as:
The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.
Where
--- The first term
--- The last term
So: