Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so

2. ∠CDB is a right ange, because CD⊥AB, so

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

4. By Angle Addition Postulate,

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

Tommy’s class rank dropped 10 %
Answer:
the distance of the Bird (B) from the plane (P) is = 10779 ft
Step-by-step explanation:
From the given information:
a diagrammatic representation is attached below for better understanding and solution to the question.
From the diagram;
Let the Bird (B) be represent as A
The plane (P) be represented by B
The observer be represented by O
and the tower T be represented by C
we will see that:

Also;

AO = BC = 7000
Let consider the trigonometry of triangle BAO
tan θ = opposite/adjacent
tan 33° = 7000/x
0.6494 = 7000/x
x = 7000/0.6494
x = 10779.18
x = 10779 ft ( to the nearest whole number)
Thus; the distance of the Bird (B) from the plane (P) is = 10779 ft