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mr Goodwill [35]
3 years ago
9

At certain time of day , a 30 meter high building cast a shadow that is 31 meters long . what is the angle of the elevation of t

he sun? round to the nearest degree.
A. 46 degree
B. 16 degree
C.44 degree
D.75 degree
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

tan(A)=\frac{30}{31}

A=arctan(\frac{30}{31})=44\°

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Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
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Answer:

m∠A = 50°

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Step-by-step explanation:

Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°

In a Triangle, the sum of the interior angles of a triangle = 180°

Step 1

We solve for x

Hence:

m∠A + m∠B + m∠C= 180°

(x-10)°+ (2x-50)°+ x° = 180°

x - 10 + 2x - 50 + x = 180°

4x - 60 = 180°

4x = 180° + 60°

4x = 240°

x = 240°/4

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Step 2

Solving for each measure

x = 60°

m∠A=(x-10)°

= 60° - 10°

= 50°

m∠B=(2x-50)°

= 2(60)° - 50°

= 120° - 50°

= 70°

m∠C=x°

= 60°

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