Answer:
12.5
Step-by-step explanation:
30-60-90 triangles always have the height be sqrt3 the base.
Formula for the area of a triangle:
( Base X Height ) Divided by 2 or (B×H) ÷ 2
Formula for the area of a circle:
PI times the radius squared or PI × r^2
Area of the triangule part of this figure:
Base: 8ft. Height: 6ft
(8ft × 6ft) ÷ 2
48ft^2 ÷ 2
24ft^2
Since the circular part of the figure is a SEMICIRCLE, we are finding the area of a circle with the same radius but dividing it by 2 since thats just a half of a circle
Area of the semicricle:
Diameter: 10ft,
Therefore the radius is 5ft
(PI x 5ft^2) ÷ 2
39.2699081699 ft^2
39.27 ft^2
Now add these two areas together:
24ft^2 + 38.27ft^2 = 62.27ft^2
Hope it helps
Answer:
The square root of 15 in exact form but in decimal form its 3.87298334
Step-by-step explanation:
An angle of depression is the angle of a slant to the upper horizontal line. The official definition is: <span>the </span>angle<span> formed by the line of sight and the horizontal plane for an object below the horizontal.
Thus, for this problem, we must use trigonometry. The tower is perpendicular to the upper horizontal and the ground, so after we draw a line connecting the points we get 90 - 63 = 27, which is one of the angles in the right triangle.
The other angles are ninety and 63. We wish to find the measure of the bottom of the triangle, so we use tangent which includes both legs.
Therefore, tan(27)=x/43. Plugging this into a calculator, we get roughly 21.9.
Hope this helped! It probably sounds a lot harder than it actually is without a picture.</span>
