I need help please:’(

The angle of elevation from point A to the top of a cliff is 38 degrees. If point A is 80 feet from the base of the cliff, how h

mr Goodwill [35]

The tangent ratio is
tan(38°) = opposite/adjacent = (height of cliff)/(distance to base)
Multiplying the equation by the denominator gives
height of cliff = (80 ft)*tan(38°) ≈ 62.5 ft

6 0

4 years ago

In APQR, P = 83°, p = 285 m, r = 216 m.<br>Calculate R.

vladimir1956 [14]

Answer:

48.8°

Step-by-step explanation:

We solve using sine rule

The formula is given as

p/sin P = r/sin R

In APQR, P = 83°, p = 285 m, r = 216 m.

Calculate R.

Hence, solving for R

285/sin 83 = 216/sin R

Cross Multiply

285 × sin R = sin 83 × 216

sin R = sin 83 × 216/285

R = arc sin (sin 83 × 216/285)

R = 48.78527°

Approximately = 48.8°

Therefore, R = 48.8°

5 0

3 years ago

Account A and Account B both have a principal of $2,000 and an annual interest rate of 2%. No additional deposits or withdrawals

GuDViN [60]

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

$A=P(1+rt)$

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

$A=2000(1+0.02(20))$

Multiply and add:

$A=2000(1+0.4)=2000(1.4)$

Multiply. So, the total amount of money in Account A after 20 years is:

$A=\$2800$

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of $2800-2000=\$ 800$

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

$B=P(1+\frac{r}{n}})^{nt}$