What is the angle of elevation of the sun when a 42 ft mast casts a 17 ft shadow

  68.0°

Step-by-step explanation:

The tangent function relates the sides of a right triangle to the angle:

  Tan = Opposite/Adjacent

The mast is opposite the angle of elevation, and the shadow is adjacent, so you have ...

  tan(angle) = (42 ft)/(17 ft)

The inverse tangent function is used to find the angle whose tangent is a particular value.

  angle = arctan(42/17) ≈ 67.964°

The angle of elevation is about 68.0°.

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree

38.5

step-by-step explanation:

lets say, first number = r

second number = 3r+7

total = 49

(r)+(3r+7)= 49

4r+7 = 49

4r = 42

r = 42/4

r= 10.5

3r+7 = 3(10.5)+7 = 38.5

hope this