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lions [1.4K]
3 years ago
6

Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80

degrees. if each story of the building is 17 feet how many floors does the building have
Mathematics
1 answer:
SashulF [63]3 years ago
8 0
This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors


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Answer:

No probllem linked

Step-by-step explanation:

3 0
3 years ago
In a right angled triangke abc the perpendicular and the base measure 3 cm find hypotenus and three trignometrice ratios
Ierofanga [76]

Given:

In a right angled triangle ABC the perpendicular and the base measure 3 cm.

To find:

The hypotenuse and three trigonometric ratios.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Use Pythagoras theorem in triangle ABC.

Hypotenuse^2=(3)^2+(3)^2

Hypotenuse^2=9+9

Hypotenuse=\sqrt{18}

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The three trigonometric ratios are

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

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\sin \theta=\dfrac{1}{\sqrt{2}}

Similarly,

\cos \theta=\dfrac{Base}{Hypotenuse}

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\cos \theta=\dfrac{1}{\sqrt{2}}

And,

\tan \theta=\dfrac{Perpendicular}{Base}

\tan \theta=\dfrac{3}{3}

\tan \theta=1

Therefore, the hypotenuse is 3\sqrt{2} cm and three trigonometric ratios are \sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1.

6 0
2 years ago
Write an equation in slope -intercept form for each line described . 1. Horizontal line through (3,5)
maria [59]
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7 0
3 years ago
Two brothers, richard and andrew share a sum £30 in the ratio 3:7 how much does each brother get?
GalinKa [24]
7+3 = 10
30/10 = 3
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7(3) = 21

richard gets 9
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3 0
3 years ago
Read 2 more answers
⚠️⚠️ check this out ⚠️⚠️
Murljashka [212]

Answer:

Y - Intercept is 50

Slope is -25/100

Step-by-step explanation:

Hope this Helps!!

:D

4 0
3 years ago
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