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Yuliya22 [10]
3 years ago
8

A yathc is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the light

house is 26 degrees. What is nearest to the hieght of the lighthouse
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

<h3>44 ft</h3>

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft

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The cost (in dollars) of a custom made sweatshirt is represented by 3.5n +29.99, where n is the number of different colors in th
juin [17]

Answer:

52.5n+449.85

Step-by-step explanation:

The cost is given for <em>1 sweatshirt</em>. To find the cost of 15 sweatshirts, we need to multiply the expression by 15. Let's do this:

15(3.5n+29.99)\\=15(3.5n+29.99)\\=15(3.5n)+15(29.99)\\=52.5n+449.85

This is the expression that represents the cost of 15 sweatshirts.

8 0
3 years ago
What is the ratio for 3 feet to 42 inches in simplest form
Natali [406]

Answer:

3:3.5

Step-by-step explanation:

3 feet :42 inches

42 inches=3.5 feet

3 feet:3.5 feet

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4 years ago
I always have 200 nobles at my parties. Last time there were 500 special peasants invited and they ate 850 tarts in all. At the
denpristay [2]

Answer:

Each noble, on average, eats 3 tarts

Each peasant eats 1/2 tarts

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone help me with this please
earnstyle [38]

Here's the key:


Any radius that's perpendicular to a chord, bisects the chord.


So the piece of a radius that's perpendicular to the chord bisects it,

and the part of the chord that forms a side of the triangle is also 6.5 .


The triangle is a right triangle, and its hypotenuse is a radius of the circle.

the diameter of the circle is 16, so the length of the radius is 8 .


So now you know the length of the hypotenuse and one leg of a right

triangle, and side 'x' is the other leg.


This is where Pythagoras comes in.


(hypotenuse)² = (one leg)² + (the other leg)²


(8)² = (6.5)² + x²


64 = 42.25 + x²


x² = 64 - 42.25


x² = √21.75


x = about 4.664... (looks like choice-A)

7 0
4 years ago
Find the mean of the data in version a and round to the nearest tenth 20,20,24,24,25,25,25,25,26,26,26,27
ankoles [38]

Answer:

27 27 27

Step-by-step explanation:

as u can see it is going 25 25 25 three times so what u do with the 27 is this

27 27 27 three times. Hope This Helps

8 0
3 years ago
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