If = 65° and j = 11 mm, what is the value of h to the nearest tenth of a millimeter?
a. 4.7 mm
b. 12.1 mm
c. 5.1 mm
d. 8.6 mm

C. 5.1 mm

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan alpha = opposite/ adjacent

tan alpha = j/h

tan 65 = 11/h

Multiply both sides by h

h tan 65 = 11/h *h

h tan 65 = 11

Divide each side by tan 65

h tan 65 / tan 65 = 11 / tan 65

h = 11 / tan 65

h =5.12938424

To the nearest tenth

h = 5.1

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)