Answer:
1. In triangle ABC,
AC = a = 10, BC =b= 7 and ∠ C = 90°
By cosine law,




Now, by the law of sine,



2. In triangle ABC,
∠B = 30°, AB=c=10 and ∠C = 90°
∠A = 180°-(30+90)°=60°

⇒ 
By Pythagoras,

⇒ 
Answer:
0.37
Step-by-step explanation:
Answer:
Speed of plane in still air = 825 km/h
Step-by-step explanation:
Given:
Speed of plane with the wind is 145 km/h faster than what it would have with still air.
Speed of plane with wind = 970 km/h
To find speed of plane in still air.
Solution:
Let speed of plane in still air be =
km/h
Thus speed of plane with wind would be given as =
km/h
Speed of plane with wind is given =970 km/h
So, we have:

Solving for
.
Subtracting both sides by 145.

∴
km/h (Answer)
Thus, speed of plane in still air = 825 km/h
Answer:
Can not be determined.
Step-by-step explanation:
From the figure attached,
In ΔHFS and ΔIFS,
Side HS ≅ Side HI [Given]
∠HFS ≅ ∠IFS [Given]
Side FS ≅ Side FS [Reflexive property]
But there is no property of SSA (Side-side-angles for the congruence of two triangles)
Therefore, answer is "can not be determined".