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1 year ago

In this polygon, all angles are right angles.

Mathematics

1 answer:

krek1111 [17]1 year ago

5 0

The area of the given polygon is 1830 cm².

<h3>What is a polygon?</h3>

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

We know the area of a square is (side)² and the area of a rectangle is (length×width).

From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,

= (46×46) cm² - (16×21) cm².

= (2166 - 336) cm².

= 1830 cm².

learn more about polygons here :

brainly.com/question/24464711

#SPJ1

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An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away

Thepotemich [5.8K]

From my own solution, my answer is closest to D. 1951 yd; 27°

The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27°.

Pls. see my attachment.

In it I divided the big triangle into two small right triangles.
I solved for the common leg of the right triangles by using sin theta formula. sin θ = opposite / hypotenuse

sin 35° = opposite / 1538 yd
sin 35° * 1538 yd = opposite
882.16 yd = opposite

From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle.

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

tan(y) = opposite / adjacent
tan(y) = 1538 yd / 3000 yd
tan(y) = 0.513
y = 0.513/tan
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