Harley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac, has a length of 32.9848450049 cm. what is the value of a (the length of bc)?

Value of a ( Length of BC) = 16.4925cm

Step-by-step explanation:

Given: In right Δ ABC, m∠B = 90°, and m∠A = 30° and Hypotenuse AC = 32.9848450049 cm.

To find: Length of BC (value of a) = ?

Sol: In right Δ ABC,

m∠A  +  m∠B +  m∠C = 180° ( sum of angles of a triangle)

30° + 90° +  m∠C = 180°

m∠C = 180° - 120° = 60°

Now Using trigonometry ratios, in right Δ ABC,

   (∵ cos 60° = 1/2 and

Therefore, value of a ( Length of BC) = 16.4925 cm.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?