find the area of the triangle to the nearest tenth
104 m, 40 degrees, 226 m.
a 7554 m^2
b 9002.6 m^2
c 9861.1 m^2
d 11752 m^2
Trigonometry and Area Practice & Quick Check
Question 1. 173.8 cm
Question 2. 7,554 m
Question 3. 311.3 km
Question 4. The area of pentagon A is equal to 1.53 times the area of pentagon 3.
Question 5. 48.2 cm
Question 6. 237.8 in
Question 7. 20.8 m
Question 8. 29.7 cm
Question 9. $51.96
Question 10. 24 in
Question 1. 688.2 ft
Question 2. 229.2 m
Question 3. 8.6 ft
Question 4. 566.9 in
Question 5. 635.1 m
Question 6. 130 or 130.0
Trust me its correct! ;)
We can use the formula for the area of a triangle with sides a and c and angle B:
Area = (1/2)acsinB
Plugging in the given values, we get:
Area = (1/2)(104)(226)sin(40)
Area ≈ 9861.1 m^2 (to the nearest tenth)
The answer is option C.
Thank you for providing the answers. However, without the corresponding questions, it is difficult to verify their accuracy. Can you please provide the questions as well?
To find the area of a triangle given two side lengths and the included angle, you can use the formula:
Area = (1/2) * a * b * sin(C)
where 'a' and 'b' are the side lengths, and 'C' is the included angle.
In this case, the two side lengths given are 104 m and 226 m, and the included angle is 40 degrees.
First, you need to convert the angle from degrees to radians, because the sin function in the formula works with radians.
To convert from degrees to radians, you use the formula:
radians = degrees * (π/180)
Plugging in the values, we get:
radians = 40 * (π/180) = 0.6981 radians (rounded to four decimal places)
Now, you can substitute the values into the area formula:
Area = (1/2) * 104 m * 226 m * sin(0.6981)
Calculating this expression:
Area ≈ (1/2) * 104 m * 226 m * 0.6399
Area ≈ 5912.8016 m^2
Since the question asks for the answer to the nearest tenth, you would round the answer to one decimal place.
Therefore, the area of the triangle is approximately 5912.8 m^2.
None of the given options match this result, so there might have been an error or omission in the provided answer choices.