Tell which number is greater. 1/3, 30%

A 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° How tall is the lighthouse?

Answer:

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

8 0

3 years ago

a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length

pickupchik [31]

Given that Circle O is centered at (3,-2) and the circle passesthroughR(7,1),Thedistance between O and R is the radius (r).r=√(7−3)2(1−(−2))2=√25=5diameter =2⋅r=2⋅5=10.

3 0

3 years ago

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Whats the asnwer for this question?

sergij07 [2.7K]

Answer:

C

Step-by-step explanation:

5 0

3 years ago

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