All categories

3 years ago

While taking a ride in a hot air balloon in Napa Valley, Francisco wonders how high he is.

1 answer:

8 0

let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet

You might be interested in

Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

7 0

3 years ago

Mrs.Baca uses a phone card to call her relatives in Colombia.It costs her 45 cents to talk for 15 minutes.How long can she talk

zysi [14]

45/15= 3

So 1 minute=3 cents

75*3=225=2.25 converted

75 minutes=$2.25

6 0

3 years ago

Read 2 more answers

Which expressions are not polynomials?

Naddika [18.5K]

Answer:

The middle two expressions shown are not polynomials

Step-by-step explanation:

Polynomial terms have positive integer exponents on any variables. A 2/3 power is not an integer exponent. Division by y is equivalent to an exponent of -1, which is not a positive integer.

8 0

3 years ago

Find the measure of the angle I-ready Please help

Anon25 [30]

Answer:

Step-by-step explanation:

if you see that line in between 90, 100 that is a five and it is past 90 making it 95

4 0

3 years ago

Round 53.26 to the nearest whole number.

8_murik_8 [283]

Nearest whole number is 53

If it were 53 point any decimal 5 or up it would be 54.

Hope this helps darling

4 0

3 years ago