A2.5m string is attached to the top of a verticle tentpole. the string is pegged into the ground 1.8m away from the base of the tentpole. how tall is the tentpole and what angle does the string make with the ground?

a² + b² = c²

a² + 1.8² = 2.5²

a² = 2.5² -1.8²

a² = 3.01

a = √3.01 = 1.7m (nearest tenth)

The height of the tentpole is 1.7m tall.

cos (x) = 1.8/2.5

cos (x) = 0.72

x = cos⁻¹ (0.72)

x = 43.9° (nearest tenth)

The angle is 43.9°

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: