2 years ago

Please solve this equation

Mathematics

1 answer:

tangare [24]2 years ago

3 0

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139 -139

x = 41°, ∠2 = 41°

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In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

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Step-by-step explanation:

In ΔQRS,

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See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

$Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)$