Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula



now, we can find x
In triangle DEF:
we can use trig formula



we can see that
height of statue =x+y
so, the height of statue is


Answer:
The correct option is 3.
Step-by-step explanation:
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
J = 90°, J' = 90°
K = 65°, K' = 65°
L = 25°, L' = 25°
In a rigid transformation the image and pre-image are congruent. Reflection, translation and rotation are rigid transformation.
In a non rigid transformation the image and pre-image are similar. Dilation is a non rigid transformation.
In a rigid or a nonrigid transformation, the corresponding angles are same. If the corresponding sides are same, then it is a rigid transformation and if the corresponding sides are proportional, then it is a non rigid transformation.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Therefore option 3 is correct.
Let
s be the speed of the ship, and
c be the speed of the current.
We know that distance equals speed multiplied by the time.
With the current

or

This is our first equation.
Now, against the current, we have

or

This is our second equation.
We solve the equations simultaneously, by adding them together

Substitute s=87.5 to the first equation to solve for c.

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr.
10a + 8b = 230
a + b = (2 + 2 + 13 + 10)...a + b = 27 (this is the number of gifts to buy)
a = 27 - b
10(27 - b) + 8b = 230
270 - 10b + 8b = 230
-10b + 8b = 230 - 270
-2b = -40
b = -40/-2
b = 20 <=== she bought 20 eight dollar gifts
a = 27 - b
a = 27 - 20
a = 7 <=== she bought 7 ten dollar gifts
Answer:
number 2 is 72 number 3 is 45 and number 1 makes no sense
Step-by-step explanation: hopes this helps god bess