In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree

T=66.218≈66.2

∘

Step-by-step explanation:

\tan T = \frac{\text{opposite}}{\text{adjacent}}=\frac{5.9}{2.6}

tanT=

adjacent

opposite

​

=

2.6

5.9

​

\tan T = \frac{5.9}{2.6}

tanT=

2.6

5.9

​

T=\tan^{-1}(\frac{5.9}{2.6})

T=tan

−1

(

2.6

5.9

​

)

T=66.218\approx 66.2^{\circ}

T=66.218≈66.2

∘

66.2

Step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation: