Question

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Answer 1

Answer:

option 4

Step-by-step explanation:

tan30° = 17/x

=>1/√3 = 17/x

=>x = 17√3

for y,

sin30° = 17/y

=>1/2 = 17/y

=>y = 34

Answer 2

For this case we must find the value of y (Hypotenuse) and the value of x (leg adjacent to the 30 degree angle) of the triangle shown.

By definition:

$Tangent (30) = \frac {17} {x}\\x = \frac {17} {Tangent (30)}\\x = \frac {17} {\frac {\sqrt {3}} {3}}\\x = \frac {17 * 3} {\sqrt {3}}\\x = \frac {51 \sqrt {3}} {3}\\x = 17 \sqrt {3}$

Now, we look for the value of y:

$Sine (30) = \frac {17} {y}\\y = \frac {17} {sine (30)}\\y = \frac {17} {\frac {1} {2}}\\y = 34$

Answer:

$x = 17 \sqrt {3}\\y = 34$

Option D