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3 years ago

The angle of elevation from L to K measures 39°. If KL = 12, find JL. Round your answer to the nearest tenth.

Mathematics

2 answers:

WITCHER [35]3 years ago

4 0

Answer is C=9.3

Pls find attached file

umka21 [38]3 years ago

3 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given:

Angle of elevation from L to K = 39°

J is the vertex of the Right angled triangle.

To find: JL

Figure is attached.

In ΔJKL,

Using Trigonometric ratio,

$cos\:39=\frac{JL}{KL}$

$0.77=\frac{JL}{12}$

JL = 0.77 × 12

JL = 9.324

JL = 9.3

Therefore, 3rd Option is correct.

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3 years ago

Read 2 more answers

An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters mor

butalik [34]

Answer:

The rectangle is 3.2 cm by 12.6 cm

Step-by-step explanation:

See attached image for a diagram.

Choose w to represent the width because the length is described by referring to the width: it's 3 more than (add 3) triple (multiplied by 3) the width.

Length = 3w + 3

The diagonal forms two right triangles, each with leg = w, other leg = 3w + 3, hypotenuse = 13.

The Pythagorean Theorem says $(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$ so

$w^2+(3w+3)^2=13^2\\\\w^2+9w^2+18w+9=169\\\\10w^2+18w-160=0\\\\5w^2+9w-80=0\\$

Now solve using the Quadratic Formula with $a=5,\,b=9,\,c=-80$ .

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\w=\frac{-9\pm\sqrt{81+1600}}{10}\\\\w=\frac{-9\pm\sqrt{1681}}{10}\\\\w=\frac{-9\pm41}{10}\\\\w=-5\text{ or }w=3.2$

The negative root makes no sense as a distance, so the width of the rectangle is 3.2 cm. The length is 3(3.2) + 3 = 12.6 cm.

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3 years ago