The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
<h3>What are the trigonometric ratios?</h3>
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
Here, θ is the angle.
The value of angle given in the problem are,
- Cosine a = 0.352
- Sine a = 0.936.
Put these values in the above fromula as,
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
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The following are true:
1. The bases are congruent. This is what makes it a prism.
3. When the bases are polygons- which they should be for it to be a prism, the lateral faces are rectangles. This is always true because the edges of the polygon wil create a rectangle when it connects to the other edge on the opposite side of the prism.
Answer: 97 meters
Step-by-step explanation:
Draw 2 right triangles KLM and ABC.
ML=3.2 m ( is a pole) KL =1.29 m( pole's shadow).
(The triangle KLM is right because we suppose that pole is staying vertically).
In triangle AB is tower's shadow= 39.25 m and BC is the height og tower=x meters?
Triangles KLM and ABC are similar .
So ML/KL=x/AB
3.2/1.29=x/39.25
x=3.2*39.25/1.29= approx 97.36 meters= 97 meters
Polygons whose corresponding angles are congruent and whose corresponding sides are proportional are called similar polygons.
race entry costs 55, they use 15 of it to cover costs so they get 55-15 = 40 per entry
x = race entries
equation becomes 55000>= 40x +10000
45000>= 40x
x >= 45000/40 >= 1125
they need at least 1125 race entries to make $55,000