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BigorU [14]
2 years ago
14

Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation

to the top of the mountain and finds it to be 21°44'. Find the height of the mountain to the nearest foot if Bob is 13,428.7 feet from the center of the mountain at the base.
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

5353 ft

Step-by-step explanation:

We have height of the mountain = x

We also have

tan (21°44')= x/13428.7 → x=5352.98ft

Height of the mountain to the nearest foot = 5353 ft

Hope this helps ʕ•ᴥ•ʔ

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Answer:

z = - 0.78

Step-by-step explanation:

Given:

1/3(6z+7.2)=0.5(8z+2)-0.4

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2z + 1.6z = - 0.4 - 2.4

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A triangular field with vertices OPQ has sides OP = 402 m, PQ = 388 m, and QO = 254 m. Find the perpendicular distance from the
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3 years ago
David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, afte
Elina [12.6K]

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

d =19\%

The price (p) of the item is given as:

p = \$32

So, the amount (A) paid before tax is calculated using:

A = p \times (1 - d)

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A = \$32 \times (1 - 19\%)

Express percentage as decimal

A = \$32 \times (1 - 0.19)

Subtract 0.19 from 1

A = \$32 \times 0.81

Multiply 32 and 0.81

A = \$25.92

Hence, David will pay $25 and 92 cents for an item of $32, before tax

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3 0
2 years ago
Jay's net earnings are $4000 per month. Jay's monthly expenses are $3000 per month, with $2000 of that being rent. According to
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In Five month Jay should have $15,000  in his account has emergency fund

<h3>Given Data</h3>

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7 0
2 years ago
A spaceship is traveling at a steady rate. The table shows the distance the spaceship travels in a given period of time. Find th
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The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.

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The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;

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600 miles

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