Question: In ΔRST, the measure of ∠T=90°, the measure of ∠R=6°, and RS = 3.6 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
0.4 Feet
Step-by-step explanation:
From the question,
Applying
SinФ = Opposite/Hypotenuse
SinФ = ST/RS............... Equation 1
From the diagram attached below,
Given: Ф = 6°, ST = y feet, RS = 3.6 feet
Substitute these value into equation 1
Sin6° = y/3.6
make y the subject of the equation
y = 3.6(sin6°)
y = 3.6(0.1045)
y = 0.3762
y = 0.4 feet
Therefore Length ST = 0.4 feet
