YOU WILL NOT FIND THE GEOCACHE AT THE POSTED COORDINATES! (But it is within 3 km of them.)
You will need to solve the following to obtain the coordinates N 43 A.B W 079 C.D by solving the trigonometry questions below. You will find the cache there.
Trigonometry is important to mathematics as an element of calculus, statistics and linear algebra. Outside of mathematics, it is important to physics, engineering, geography and astronomy as well as architectural design. Trigonometry is a fundamental component of calculus. In statistics, trigonometric functions are necessary for the computation of the bell curve and for the study of seasonal periodicities. Most uses of trigonometry in other fields relate to the use of Fourier series, which cannot be calculated without the use of trigonometry.
So, do you know YOUR trigonometry? Let's see.
A
Find the smallest angle (to the nearest degree) for a triangle whose lengths are given as 3.0 cm, 3.2 cm and 3.4 cm. Answer is A.
B
Find the largest angle (to the nearest degree) for a triangle whose lengths are given as 3.7m, 3.2 m and 5.4 m. Answer is B
C
Suppose Romeo is serenading Juliet while she is on her balcony. Romeo is facing North and sees the balcony at an angle of 200. Paris, Juliet's other suitor, is observing the situation and is facing west. Paris sees the balcony at an angle of elevation of 180. Romeo and Paris are 100 m apart. Determine the height of Juliet's balcony above the ground, to the nearest metre. Answer is C.
D
Determine r to the nearest unit (no decimal places).
Answer is D = 7 x r