Vance is designing a garden in the shape of an isosceles triangle. the base of the garden is 30 feet long. the function y = 15 tan theta models the height of the triangular garden.

a. what is the height of the triangle when theta = 30°?

b. what is the height of the triangle when theta = 40°?

c. vance is considering using either theta = 30° or theta = 40° for his garden. compare the areas of the two possible gardens. explain how you found the areas.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: