The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Data;
- Angle = 30 degree
- Opposite = 35
- Adjacent = x
<h3>Trigonometric Ratio</h3>
Given the angle of depression from his point to the sea, we can use trigonometric ratio to calculate for the horizontal distance from his location to the bottom of the sea.
SOHCAHTOA
Since we have the value of angle and opposite and we need to calculate the adjacent side of the right-angle triangle, we can use the tangent of the angle to this effect.
The horizontal distance between Carl and the rock at sea is approximately 60.62ft.
Learn more on trigonometric ratio here;
brainly.com/question/12172664
Answer:
C
Step-by-step explanation:
Know that two angles added equals 180
The area of a figure is the amount of space the figure occupies
The surface area of the figure is 34.8 square meters
<h3>How to determine the area of the shape</h3>
From the question, we have:
- The dimensions of the congruent squares are 3 m by 3 m
- The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 * Area of square + Area of parallelogram
This gives
Evaluate the products
Evaluate the sum
Hence, the surface area of the figure is 34.8 square meters
Read more about surface areas at:
brainly.com/question/24571594
Answer: 30 students.
Step-by-step explanation: They are saying 50% of the class like the teacher. We know that 50% is half of the 100% so that mean only half of the students like the teacher. Is 15 students like the teacher it means that 15 are half of the students in the class. The other half should be another 15. So 15+15=30 or 15x2=30.
I hope I didn’t make it to confusing.
Answer:
3. 261 ft³
Step-by-step explanation:
Volume of the figure = ½(volume of cylinder) + volume of triangular prism)
✔️Volume of cylinder = πr²h
r = 3 ft
h = 10 ft
Volume of cylinder = π*3²*10 = 282.74 ft³
✔️Volume of right triangular prism = ½*b*h*l
b = 3*2 = 6 ft
h = 4 ft
l = 10 ft
Volume of triangular prism = ½*6*4*10 = 120 ft³
✔️Plug in the values into the equation:
Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³
