Suppose you are standing 19 feet from the base of a flagpole. You are able to determine that the angle of elevation to the top of the pole is 64.60 . Determine the height of the flagpole.

40 ft

Step-by-step explanation:

Given that the angle of elevation is 64.6°, this means that the angle of depression from the top of the flagpole is 180 - 90 - 64.6, which is 25.4°

We can solve by using the sine rule, or the cosine rule.

Using the sine, we have

Sinθ = OPP/HYP, we're going to use the angle of depression, and thus

Sin 25.4° = 19/x, on rearranging, we have

x = 19/ sin 25.4°

x = 19/0.4289

x = 44.30 ft.

Now, we use Pythagoras theorem to get the height of the flagpole.

44.3² = 19² + y²

y² = 44.3² - 19²

y² = 1962.49 - 361

y² = 1601.49

y = √1601.49

y = 40 ft

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.