what is the area of triangle PQR round to the nearest tenth of a square meter? drawing is not drawn to scale. 18m 25 degrees 8m
a) 60.8 m^2
b) 65.3 m^2
c) 30.4 m^2
d) 32.7 m^2
Two side lengths are 18 and 8. One angle is 25 degrees
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To find the area of triangle PQR, we can use the formula:
Area = (1/2) x base x height
where the base is one of the sides and the height is the perpendicular distance from the base to the opposite vertex.
First, let's find the height of the triangle. We can use trigonometry, specifically the sine function:
sin(25) = opposite / 18
opposite = 18 x sin(25) ≈ 8.076
So the height of the triangle is approximately 8.076 meters.
Now we can use the formula:
Area = (1/2) x base x height
Area = (1/2) x 8 x 8.076 ≈ 32.6
Rounding to the nearest tenth of a square meter, the area of triangle PQR is approximately 32.7 m^2.
Therefore, the answer is d) 32.7 m^2.