Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35 degrees. To the nearest 100th, find the search area.
2.08mi
2.9mi
1.04mi
1.49 mi
1.04
1) C 2) A 3) D 4) C 5) A 6) D 7) B 8) B 9) A 10) B 100%
Diego right for geo connections quiz areas and sectors
1- 61.9
2-65.0 IN.^2
3- 1.04 mi2
8- 52.5 m^2
diego is right got 10/10
To find the search area of the triangle, we can use the formula for the area of a triangle:
Area = (1/2) * base * height
In this case, the two adjacent sides of the triangle form the base and height. We need to find the area of the triangle using the lengths of the adjacent sides.
To find the area, we'll use the formula:
Area = (1/2) * side1 * side2 * sin(angle)
First, let's find the value of sin(angle) using the given angle of 35 degrees:
sin(35 degrees) = 0.5736 (approximately)
Now, we can substitute the given values into the formula:
Area = (1/2) * 2.75 miles * 1.32 miles * 0.5736
Area = 1.49074 square miles
Rounding this value to the nearest hundredths, we get:
Area ≈ 1.49 square miles
Therefore, the search area is approximately 1.49 mi².
If two adjacent sides of a triangle are A and B, and the angle between them is Ø, then the area of the triangle
= (1/2)AB sinØ
= (1/2)(2.75)(1.32)sin 35°
= ..
you can do the arithmetic.
btw, the units on your answers should be square miles, or mi^2 , not miles.