What’s the measure of b?

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

irakobra [83]

Question:

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

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 pound of rice crackers costs $2.88. Matthew purchased 1/4 pound of crackers. How much did he pay for the crackers.

dlinn [17]

So you know that a pound of rice crackers cost $2.88. You also know that Matthew bought 1/4 or 25% or 0.25 of a pound. This means that by multiplying 0.25 by $2.88, you can determine the cost.

0.25 x 2.88 = $0.72
Therefore, Matthew paid 72 cents or $0.72 for 1/4 pound of rice crackers

7 0

3 years ago

Read 2 more answers

Please help will give brainlist!

Yuki888 [10]

Answer:

$b=\frac{1}{6}$