Please solve the question below 88
1 answer:
Answer:
7361.56 yards
Step-by-step explanation:
Height of the tower = 906 yards
Mauricio's height = 2 yards
Angle of elevation =
Let the distance between Mauricio and the base of the tower be represented by x.
The difference between the height of tower and Mauricio's height = 906 - 2
= 904 yards
So that applying the appropriate trigonometric function, we have;
Tan θ =
Tan =
0.1228 =
x =
= 7361.5635
x = 7361.56 yards
The distance between Mauricio and the base of the tower is 7361.56 yards.
You might be interested in
Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC; in triangle ΔFGH;
Segment = 14
Segment
= 14
Segment = 27
Segment
= 19
Segment = 19
Segment
= 2·y + 5
∡A = 32° ∡G = 32°
∡A = ∠BAC which is the angle formed by segments = 14 and
= 19
Therefore, segment = 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments = 14 and
= 19
Therefore, segment = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅
by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴ =
= 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Answer:
Step-by-step explanation: