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meriva
2 years ago
7

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

angle. The length of K M is 6 and the length of M J is 3. What is the length of line segment LJ?
Mathematics
1 answer:
OleMash [197]2 years ago
7 0

Answer:

sdeerwegh

Step-by-step explanation:

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3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.
Ne4ueva [31]

Answer:

Option B, 22

Step-by-step explanation:

Alternate interior angles are same

5 0
3 years ago
Read 2 more answers
The sum of the measures of the interior angles of a convex pentagon
ipn [44]

Answer:

for any pentagon the interior angles add up to n-2 times 180 degrees.

n-2

180(n)

7 0
3 years ago
Identify the place of the 4 in the number: 45,348
MAXImum [283]
Ten thousands and tens place.
7 0
3 years ago
Jude puts 6 lemons in bag. If he has 170 lemons how many will be left over
baherus [9]
2 will be left over <span>The largest multiple of </span>6<span> which is less than or equal to </span>170<span> is </span>168
<span>and </span><span>170−168=<span>2</span></span>
7 0
2 years ago
Read 2 more answers
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