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3 years ago

Find the angle complementary to the angle 80°25

1 answer:

5 0

<span>90 degrees 0 minutes is the same as 89 degrees 60 minutes.
89 degrees 60 minutes minus 80 degrees 25 minutes equals:
9 degrees 35 minutes.
-----
your answer is:
9 degrees 35 minutes</span>

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An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

3 years ago

nikdorinn [45]

Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

< A = 3 * 16° + 18° = 66°

3 0

3 years ago

Order the numbers from least to greatest. 10/8, 4/3, 1.4, 1.08

Andrew [12]

Answer:1.4, 4/3, 10/8, 1.08

Step-by-step explanation:

4/3 = 1.33

10/8 = 1.25

3 0

3 years ago

Scientists are drilling a hole in the ocean floor to learn more about the Earth's history. Currently, the hole is in the shap

blagie [28]

volume of cylinder=πr²h

4,300=22/7×r×r×4.7

4,300=3.14×4.7×r²

4300=14.758×r²

291.36=r²

17.069 =r

8 0

4 years ago

Read 2 more answers

What is the correct classification of 23x + 16?

prisoha [69]

Well the answer is simple it's 39 you're welcome!!

4 0

3 years ago