The legs of a right triangle measure 6 inches and 9 units. If theta is the angle between the 6-inch leg and the hypotenuse, sin theta = _____ A) 0.83 B)0.43 C)0.40 D)0.55

Question

asked Jun 25, 2019 26.4k views

2 Answers

Yuriy Yakym · Answer 1 · 2019-07-02T04:39:54+0000

we are given

two legs measure 6 inches and 9 units

theta is the angle between the 6-inch leg

we can find hypotenuse

hypotenuse=√(6^2+9^2)

hypotenuse=3√(13)

now, we can draw triangle

we will get

opposite=9

now, we can use sin formula

$sin(\theta)=(opposite)/(hypotenuse)$

now, we can plug values

$sin(\theta)=(9)/(3√(13))$

we can find approximate value using calculator

and we get

$sin(\theta)=0.83$ ..................Answer