Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
Answer:
The unknown measurement of angle R to the nearest degree is 41°
Step-by-step explanation:
As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.
in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.
So, our equation will look like this.
Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.
Now, we solve. You can use a calculator to do these calculations.
The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.
Answer:
47.7 square units
Step-by-step explanation:
The area of triangle ABC with two given sides and an inclusive angle =
1/2absinC
Where : a = 8, b = 12, C = 84
Area of Triangle ABC = 1/2 × 8 × 12 × sin 84
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Answer:
4
Step-by-step explanation:
4 is one term, 6c is one term, 14 is one term, and 1 is a term. total=4.
