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

Answer:

Around 24 degrees

Step-by-step 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

$\frac{sin\alpha }{4} = \frac{sin90}{9.7}$

Multiply 4 and sin90 and then divide the product by 9.7

Use $sin^{-1}$ on calculator to convert the answer into degrees

Answer 2

Answer:

24

Step-by-step 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