Question

alguém me ajuda por favor

Answer 1

the answers are in red

question 1) for the angle T:

$\small{sin(angle) = \frac{side \: opposite \: to \: that \: angle}{hypotenuse} }$

$\huge{ \bold{\red{sin \: T = \frac{8}{17} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

...

$\small{cos(angle) = \frac{side \: adjacent \: to \: that \: angle}{hypotenuse} }$

$\huge{\bold{\red{cos \: T = \frac{15}{17} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

...

$\small{tan(angle) = \frac{side \: opposite \: to \: that \: angle}{side \: adjacent \: to \: that \: angle} }$

$\red{ \bold{\huge{tan \: T = \frac{8}{15} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

.......

.......

for the angle G:

$\small{sin(angle) = \frac{side \: opposite \: to \: that \: angle}{hypotenuse} }$

$\huge{\bold{\red{sin \: G = \frac{15}{17} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

.....

$\small{cos(angle) = \frac{side \: adjacent \: to \: that \: angle}{hypotenuse} }$

$\huge{ \red{ \bold{cos \: G \: = \frac{8}{17} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

....

$tan(angle) = \frac{side \: opposite \: to \: that \: angle}{side \: adjacent \: to \: that \: angle}$

$\huge{\bold {\red{tan \: G = \frac{15}{8} }}}$

*you can divide these two numbers and have the approximate decimal number for this fraction

......

.......

.......

.....

question 2)

we have the opposite leg ( opposite side of 36° ) and tha hypotenuse. then we have to do the sine

* remember: sin36° said it is 0,58

then :

$\small{sin(angle) = \frac{side \: opposite \: to \: that \: angle}{hypotenuse} }$

$\small{sin36° = \frac{10}{x} }$

*replacing the value they gave of the 36 ° sine:

$0,58 = \frac{10}{x}$

multiply crossed:

$0,58 \: . \: x = 10$

$0,58x = 10$

$x = \frac{10}{ 0,58}$

$\huge {\bold{\red{x = 17,241}}}$