The total area that the cellphone will have service while at that location to the nearest million square feet is 13, 000, 000 square feet.
How to calculate the area?
Note that the shape is an isosceles triangle and θ = 45° for that side of the triangle
Using the formula:
Area = 1/2 base× height
base = 6000ft
To find the height use;
Sin θ = opposite/ hypotenuse
Sin 45 = height/ 5050
Find the value of sin 45 and substitute to the equation
0. 8509 = height/ 5050
Height = 0. 8509 × 5050
Height = 4297. 06 feet
Area = 0.5 × 6000 × 4297. 06
Area = 12, 892, 800 square feet
Area = 13, 000, 000 square feet.
Thus, the total area that the cellphone will have service while at that location is 13, 000, 000 square feet.
Learn more about the area of a triangle here:
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