Answer:
68
Step-by-step explanation:
For angle A, 3 is the adjacent leg. 8 is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.



We know the cosine of angle A equals 0.375. We take the inverse cosine of 0.375 to find the measure of the angle.


The surface area of hemisphere is given by:

Where r is radius of hemisphere.
We are given diameter = 250 ft.
We know that radius = half of diameter.
Radius of dome = 1/2 (250) = 125 ft.
Now let us plug the value of radius in the formula,

Surface Area of dome = 98125 square foot.
Answer:
∠
°
and 
Step-by-step explanation:
Given:
≅

From the given Data, we can conclude the following:
1. Since two sides of the triangle ABC are congruent, therefore its an isosceles triangle.
2.
°. This shows that the line BE is perpendicular to AC. By property of isosceles triangle, the line which passes from the vertex of the largest angle of triangle and cuts the opposite side(base) perpendicularly is the perpendicular bisector of the side and angle bisector of the angle.
∴
[ Definition of Angle bisector]



∴
[ Definition of perpendicular bisector]




Tan (10 degrees) = 1983 / distance
distance = 1983 / tan (10 degrees)
distance = 1983 / 0.17633
<span><span><span>distance = 11,246</span> feet
11,246 / 5,280 = 2.13 miles</span> </span>