Question

In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

Answer 1

24

Explanation:

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\sin T = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4}{9.7}

sinT=

hypotenuse

opposite

​

=

9.7

4

​

\sin T = \frac{4}{9.7}

sinT=

9.7

4

​

T=\sin^{-1}(\frac{4}{9.7})

T=sin

−1

(

9.7

4

​

)

T=24.354\approx 24^{\circ}

T=24.354≈24

∘

Type into calculator and round to the nearest degree.

S

T

U

4

9.7

(opposite of ∠T

Answer 2

Around 24 degrees

Explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

`(sin\alpha )/(4) = (sin90)/(9.7)`

Multiply 4 and sin90 and then divide the product by 9.7

Use
`sin^(-1)` on calculator to convert the answer into degrees