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3 years ago

(8 + 2c) + (-4 + 5m) + (7 + 3n) group the like terms to simplify the equation

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

11+2c+5m+3n

Step-by-step explanation:

8-4+7=11

you cant add 2c,5m,and 3n so you just leave them as 2c+5m+3n

then you add 11 to it and get 11+2c+5m+3n

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3 years ago

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the l

schepotkina [342]

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$

Here Base is BC and perpendicular is AB

$\tan 41^{\circ}=\frac{A B}{B C}$

Substituting the values,

$\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}$

Thus the height of lighthouse is 52.2 yards

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4 years ago