Question

A: 5. 2
B: 8. 4
C: 4. 7
D: 7. 8​

Answer 1

Explanation:

Ah...right triangle trig. Gotta love this stuff (you better, because it never goes away!). We need to remember SohCahToa which tells us that the sin of an angle is equal to the side opposite the angle over the hypotenuse; the cos of an angle is equal to the side adjacent to the angle over the hypotenuse; the tan of an angle is equal to the side opposite the angle over the side adjacent the angle. x is the side across from our given angle, while 7 is the side adjacent. That means that we will use the tangent ratio to solve.

`tan\theta=(opp)/(adj)` and filling in:

`tan48=(x)/(7)`. Solving for x:

7tan(48) = x. Do this on your calculator in DEGREE mode (NOT radians!) to get that x = 7.77 which rounds nicely to D: 7.8