In triangle CDE the measure of angle E equals 90° the measure of angle C equals 81° De equals 51 feet find the length of cd to the nearest 10th of a foot

Step-by-step explanation:

Check the diagram of the triangle in the attachment below.

From the right angled triangle shown, CD is the hypotenuse and DE is the opposite side to ∠C. To get the length CD, we will use the SOH, CAH, TOA trigonometry identity.

According to SOH;

Sin∠C = opp/hyp = DE/CD

Given ∠C = 81° and DE = 51feet

Sin81° = 51/CD

CD = 51/Sin81°

CD = 51.63572feet

CD = 51.6 (to nearest tenth of a foot)

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: