Answer and workings in the attachment below. Also, do me one big favour. Let me know if it's the answer your teacher or text book ends up giving you. That would give me some satisfaction.

Answer: 80%

7 0

3 years ago

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A man standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. One is at an angle of depressi

Ksivusya [100]

Answer:

$125\ ft$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

$tan(62\°)=\frac{124}{BC}$

$BC=\frac{124}{tan(62\°)}$

step 2

In the right triangle ABD find the length side BD

we know that

$tan(33\°)=\frac{124}{BD}$

$BD=\frac{124}{tan(33\°)}$

step 3

we know that

The distance between the two boats is the length side CD

$CD=BD-BC$

substitute the values

$CD=\frac{124}{tan(33\°)}-\frac{124}{tan(62\°)}=125\ ft$

5 0

3 years ago

rjkz [21]

The other leg is 12cm long.

Step-by-step explanation:

Given,

Hypotenuse = c = 15cm

One leg = a = 9cm

Other leg = b

As the triangle is right angled, therefore, using Pythagoras theorem;

$a^2+b^2=c^2\\(9)^2+b^2=(15)^2\\81+b^2=225\\b^2=225-81\\b^2=144\\$

Taking square root on both sides;

$\sqrt{b^2} =\sqrt{144} \\b=12\ cm$

The other leg is 12cm long.

Keywords: triangle, square root

Learn more about triangles at:

#LearnwithBrainly

3 0

3 years ago

PLZ HELP SOON

marysya [2.9K]

12.5%. there is a 1 in 8 chance that all three times it will land on heads.

5 0

3 years ago

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